21012586079264 has 192 divisors, whose sum is σ = 47053973627136. Its totient is φ = 9171406393344.

The previous prime is 21012586079237. The next prime is 21012586079291. The reversal of 21012586079264 is 46297068521012.

It is an interprime number because it is at equal distance from previous prime (21012586079237) and next prime (21012586079291).

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87167669 + ... + 87408395.

It is an arithmetic number, because the mean of its divisors is an integer number (245072779308).

Almost surely, 2^{21012586079264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21012586079264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23526986813568).

21012586079264 is an abundant number, since it is smaller than the sum of its proper divisors (26041387547872).

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

21012586079264 is a wasteful number, since it uses less digits than its factorization.

21012586079264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240947 (or 240939 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 21012586079264 in words is "twenty-one trillion, twelve billion, five hundred eighty-six million, seventy-nine thousand, two hundred sixty-four".