21012951902976 has 720 divisors, whose sum is σ = 69456699341568. Its totient is φ = 6265108684800.

The previous prime is 21012951902959. The next prime is 21012951902983. The reversal of 21012951902976 is 67920915921012.

It is a happy number.

21012951902976 is a `hidden beast` number, since 2 + 10 + 1 + 29 + 519 + 0 + 2 + 97 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 10575213855 + ... + 10575215841.

Almost surely, 2^{21012951902976} 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 21012951902976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34728349670784).

21012951902976 is an abundant number, since it is smaller than the sum of its proper divisors (48443747438592).

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

21012951902976 is a wasteful number, since it uses less digits than its factorization.

21012951902976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 21012951902976 in words is "twenty-one trillion, twelve billion, nine hundred fifty-one million, nine hundred two thousand, nine hundred seventy-six".