530916249600 has 1755 divisors, whose sum is σ = 2259751911109. Its totient is φ = 123111014400.

The previous prime is 530916249593. The next prime is 530916249613. The reversal of 530916249600 is 6942619035.

The square root of 530916249600 is 728640.

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

530916249600 is a `hidden beast` number, since 5 + 3 + 0 + 9 + 16 + 24 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 191129849856 + 339786399744 = 437184^2 + 582912^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 23083315189 + ... + 23083315211.

Almost surely, 2^530916249600 is an apocalyptic number.

530916249600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

530916249600 is the 728640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530916249600

530916249600 is an abundant number, since it is smaller than the sum of its proper divisors (1728835661509).

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

530916249600 is a wasteful number, since it uses less digits than its factorization.

530916249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 530916249600 in words is "five hundred thirty billion, nine hundred sixteen million, two hundred forty-nine thousand, six hundred".