59068094400 has 672 divisors, whose sum is σ = 254064373760. Its totient is φ = 13063680000.

The previous prime is 59068094377. The next prime is 59068094441. The reversal of 59068094400 is 449086095.

It is a happy number.

59068094400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×59068094400² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9371250 + ... + 9377550.

Almost surely, 2^59068094400 is an apocalyptic number.

59068094400 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 59068094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127032186880).

59068094400 is an abundant number, since it is smaller than the sum of its proper divisors (194996279360).

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

59068094400 is a wasteful number, since it uses less digits than its factorization.

59068094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6370 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 59068094400 in words is "fifty-nine billion, sixty-eight million, ninety-four thousand, four hundred".