20271688560 has 200 divisors, whose sum is σ = 71134624176. Its totient is φ = 5349888000.

The previous prime is 20271688537. The next prime is 20271688561. The reversal of 20271688560 is 6588617202.

20271688560 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 1 + 6 + 88 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20271688561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 612435 + ... + 644685.

Almost surely, 2^20271688560 is an apocalyptic number.

20271688560 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 20271688560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35567312088).

20271688560 is an abundant number, since it is smaller than the sum of its proper divisors (50862935616).

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

20271688560 is a wasteful number, since it uses less digits than its factorization.

20271688560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32373 (or 32358 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 20271688560 in words is "twenty billion, two hundred seventy-one million, six hundred eighty-eight thousand, five hundred sixty".