21876700504680 has 2560 divisors, whose sum is σ = 95344128000000. Its totient is φ = 4385007083520.

The previous prime is 21876700504609. The next prime is 21876700504691. The reversal of 21876700504680 is 8640500767812.

21876700504680 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 6 + 70 + 0 + 504 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 57722164731 + ... + 57722165109.

It is an arithmetic number, because the mean of its divisors is an integer number (37243800000).

Almost surely, 2^{21876700504680} is an apocalyptic number.

21876700504680 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 21876700504680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47672064000000).

21876700504680 is an abundant number, since it is smaller than the sum of its proper divisors (73467427495320).

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

21876700504680 is a wasteful number, since it uses less digits than its factorization.

21876700504680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 21876700504680 in words is "twenty-one trillion, eight hundred seventy-six billion, seven hundred million, five hundred four thousand, six hundred eighty".