21132627676704 has 240 divisors, whose sum is σ = 62245339695000. Its totient is φ = 7033467396096.

The previous prime is 21132627676691. The next prime is 21132627676723. The reversal of 21132627676704 is 40767672623112.

21132627676704 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 2 + 627 + 6 + 7 + 6 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14609977290000 + 6522650386704 = 3822300^2 + 2553948^2 .

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 39 ways as a sum of consecutive naturals, for example, 7687385922 + ... + 7687388670.

Almost surely, 2^{21132627676704} is an apocalyptic number.

21132627676704 is a gapful number since it is divisible by the number (24) 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 21132627676704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31122669847500).

21132627676704 is an abundant number, since it is smaller than the sum of its proper divisors (41112712018296).

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

21132627676704 is a wasteful number, since it uses less digits than its factorization.

21132627676704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6217 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 21132627676704 in words is "twenty-one trillion, one hundred thirty-two billion, six hundred twenty-seven million, six hundred seventy-six thousand, seven hundred four".