59056166400 has 480 divisors, whose sum is σ = 243239217408. Its totient is φ = 12270796800.

The previous prime is 59056166387. The next prime is 59056166401. The reversal of 59056166400 is 466165095.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59056166401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2946814 + ... + 2966786.

Almost surely, 2^59056166400 is an apocalyptic number.

59056166400 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 59056166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121619608704).

59056166400 is an abundant number, since it is smaller than the sum of its proper divisors (184183051008).

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

59056166400 is a wasteful number, since it uses less digits than its factorization.

59056166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20022 (or 20001 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

It can be divided in two parts, 59056 and 166400, that added together give a triangular number (225456 = T₆₇₁).

The spelling of 59056166400 in words is "fifty-nine billion, fifty-six million, one hundred sixty-six thousand, four hundred".