21132764004660 has 384 divisors, whose sum is σ = 78146620231680. Its totient is φ = 4131091046400.

The previous prime is 21132764004637. The next prime is 21132764004689. The reversal of 21132764004660 is 6640046723112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 181290595 + ... + 181407125.

It is an arithmetic number, because the mean of its divisors is an integer number (203506823520).

Almost surely, 2^{21132764004660} is an apocalyptic number.

21132764004660 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 21132764004660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39073310115840).

21132764004660 is an abundant number, since it is smaller than the sum of its proper divisors (57013856227020).

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

21132764004660 is a wasteful number, since it uses less digits than its factorization.

21132764004660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118887 (or 118885 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 21132764004660 in words is "twenty-one trillion, one hundred thirty-two billion, seven hundred sixty-four million, four thousand, six hundred sixty".