20054262400 has 192 divisors, whose sum is σ = 51096908160. Its totient is φ = 7773696000.

The previous prime is 20054262331. The next prime is 20054262413. The reversal of 20054262400 is 426245002.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13858477 + ... + 13859923.

It is an arithmetic number, because the mean of its divisors is an integer number (266129730).

Almost surely, 2^20054262400 is an apocalyptic number.

20054262400 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 20054262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25548454080).

20054262400 is an abundant number, since it is smaller than the sum of its proper divisors (31042645760).

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

20054262400 is a wasteful number, since it uses less digits than its factorization.

20054262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 20054262400 in words is "twenty billion, fifty-four million, two hundred sixty-two thousand, four hundred".