59125766484400 has 720 divisors, whose sum is σ = 183591460867680. Its totient is φ = 18089809920000.

The previous prime is 59125766484391. The next prime is 59125766484437. The reversal of 59125766484400 is 448466752195.

59125766484400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6851979286 + ... + 6851987914.

It is an arithmetic number, because the mean of its divisors is an integer number (254988140094).

Almost surely, 2^{59125766484400} is an apocalyptic number.

59125766484400 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 59125766484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91795730433840).

59125766484400 is an abundant number, since it is smaller than the sum of its proper divisors (124465694383280).

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

59125766484400 is a wasteful number, since it uses less digits than its factorization.

59125766484400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9254 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 61.

The spelling of 59125766484400 in words is "fifty-nine trillion, one hundred twenty-five billion, seven hundred sixty-six million, four hundred eighty-four thousand, four hundred".