20264888160 has 576 divisors, whose sum is σ = 78732186624. Its totient is φ = 4702924800.

The previous prime is 20264888129. The next prime is 20264888227. The reversal of 20264888160 is 6188846202.

20264888160 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 488 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41611437 + ... + 41611923.

It is an arithmetic number, because the mean of its divisors is an integer number (136687824).

Almost surely, 2^20264888160 is an apocalyptic number.

20264888160 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 20264888160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39366093312).

20264888160 is an abundant number, since it is smaller than the sum of its proper divisors (58467298464).

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

20264888160 is a wasteful number, since it uses less digits than its factorization.

20264888160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 20264888160 in words is "twenty billion, two hundred sixty-four million, eight hundred eighty-eight thousand, one hundred sixty".