20059964400 has 960 divisors, whose sum is σ = 82267750400. Its totient is φ = 4075868160.

The previous prime is 20059964387. The next prime is 20059964411. The reversal of 20059964400 is 446995002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 253923561 + ... + 253923639.

Almost surely, 2^20059964400 is an apocalyptic number.

20059964400 is a gapful number since it is divisible by the number (20) 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 20059964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41133875200).

20059964400 is an abundant number, since it is smaller than the sum of its proper divisors (62207786000).

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

20059964400 is a wasteful number, since it uses less digits than its factorization.

20059964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 20059964400 in words is "twenty billion, fifty-nine million, nine hundred sixty-four thousand, four hundred".