20264057100 has 216 divisors, whose sum is σ = 73961203680. Its totient is φ = 4544317440.

The previous prime is 20264057089. The next prime is 20264057113. The reversal of 20264057100 is 175046202.

20264057100 is a `hidden beast` number, since 2 + 0 + 2 + 640 + 5 + 7 + 10 + 0 = 666.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 303556 + ... + 364244.

It is an arithmetic number, because the mean of its divisors is an integer number (342412980).

Almost surely, 2^20264057100 is an apocalyptic number.

20264057100 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 20264057100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36980601840).

20264057100 is an abundant number, since it is smaller than the sum of its proper divisors (53697146580).

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

20264057100 is a wasteful number, since it uses less digits than its factorization.

20264057100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60769 (or 60759 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 20264057100 in words is "twenty billion, two hundred sixty-four million, fifty-seven thousand, one hundred".