60152414400 has 588 divisors, whose sum is σ = 239048088832. Its totient is φ = 14803015680.

The previous prime is 60152414381. The next prime is 60152414411. The reversal of 60152414400 is 441425106.

60152414400 is a `hidden beast` number, since 6 + 0 + 15 + 241 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 15161217 + ... + 15165183.

Almost surely, 2^60152414400 is an apocalyptic number.

60152414400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60152414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119524044416).

60152414400 is an abundant number, since it is smaller than the sum of its proper divisors (178895674432).

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

60152414400 is a wasteful number, since it uses less digits than its factorization.

60152414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 60152414400 its reverse (441425106), we get a palindrome (60593839506).

It can be divided in two parts, 60152 and 414400, that added together give a cube (474552 = 78³).

The spelling of 60152414400 in words is "sixty billion, one hundred fifty-two million, four hundred fourteen thousand, four hundred".