21620633432832 has 1152 divisors, whose sum is σ = 75944574720000. Its totient is φ = 5939480494080.

The previous prime is 21620633432831. The next prime is 21620633432843. The reversal of 21620633432832 is 23823433602612.

21620633432832 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 0 + 633 + 4 + 3 + 2 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (21620633432831) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57046526019 + ... + 57046526397.

It is an arithmetic number, because the mean of its divisors is an integer number (65924110000).

Almost surely, 2^{21620633432832} 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 21620633432832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37972287360000).

21620633432832 is an abundant number, since it is smaller than the sum of its proper divisors (54323941287168).

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

21620633432832 is a wasteful number, since it uses less digits than its factorization.

21620633432832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 21620633432832 in words is "twenty-one trillion, six hundred twenty billion, six hundred thirty-three million, four hundred thirty-two thousand, eight hundred thirty-two".