59900414400 has 252 divisors, whose sum is σ = 213109085592. Its totient is φ = 15957780480.

The previous prime is 59900414369. The next prime is 59900414401. The reversal of 59900414400 is 441400995.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59900414401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28755759 + ... + 28757841.

Almost surely, 2^59900414400 is an apocalyptic number.

59900414400 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 59900414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106554542796).

59900414400 is an abundant number, since it is smaller than the sum of its proper divisors (153208671192).

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

59900414400 is a wasteful number, since it uses less digits than its factorization.

59900414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 59900414400 in words is "fifty-nine billion, nine hundred million, four hundred fourteen thousand, four hundred".