59427542400 has 192 divisors, whose sum is σ = 202490053200. Its totient is φ = 15300812800.

The previous prime is 59427542387. The next prime is 59427542401. The reversal of 59427542400 is 424572495.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59427542401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171670 + ... + 385130.

Almost surely, 2^59427542400 is an apocalyptic number.

59427542400 is a gapful number since it is divisible by the number (50) 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 59427542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101245026600).

59427542400 is an abundant number, since it is smaller than the sum of its proper divisors (143062510800).

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

59427542400 is a wasteful number, since it uses less digits than its factorization.

59427542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213517 (or 213500 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 59427542400 in words is "fifty-nine billion, four hundred twenty-seven million, five hundred forty-two thousand, four hundred".