60832512230400 has 297 divisors, whose sum is σ = 217822578346191. Its totient is φ = 16221004922880.

The previous prime is 60832512230393. The next prime is 60832512230407. The reversal of 60832512230400 is 403221523806.

The square root of 60832512230400 is 7799520.

It is a perfect power (a square), and thus also a powerful number.

60832512230400 is a `hidden beast` number, since 6 + 0 + 8 + 3 + 2 + 5 + 12 + 230 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (60832512230393) and next prime (60832512230407).

It can be written as a sum of positive squares in 4 ways, for example, as 121237668864 + 60711274561536 = 348192^2 + 7791744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (60832512230407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3743761476 + ... + 3743777724.

Almost surely, 2^{60832512230400} is an apocalyptic number.

60832512230400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

60832512230400 is the 7799520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60832512230400

60832512230400 is an abundant number, since it is smaller than the sum of its proper divisors (156990066115791).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

60832512230400 is an frugal number, since it uses more digits than its factorization.

60832512230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32534 (or 16259 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

60832512230400 divided by its sum of digits (36) gives a square (1689792006400 = 1299920²).

The spelling of 60832512230400 in words is "sixty trillion, eight hundred thirty-two billion, five hundred twelve million, two hundred thirty thousand, four hundred".