20802875620032 has 896 divisors, whose sum is σ = 73577725132800. Its totient is φ = 5693002444800.

The previous prime is 20802875619979. The next prime is 20802875620049. The reversal of 20802875620032 is 23002657820802.

It is a happy number.

20802875620032 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 2 + 87 + 562 + 0 + 0 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20802875620032.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 750098838 + ... + 750126570.

It is an arithmetic number, because the mean of its divisors is an integer number (82117996800).

Almost surely, 2^{20802875620032} is an apocalyptic number.

20802875620032 is a gapful number since it is divisible by the number (22) 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 20802875620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36788862566400).

20802875620032 is an abundant number, since it is smaller than the sum of its proper divisors (52774849512768).

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

20802875620032 is a wasteful number, since it uses less digits than its factorization.

20802875620032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27882 (or 27866 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20802875620032 in words is "twenty trillion, eight hundred two billion, eight hundred seventy-five million, six hundred twenty thousand, thirty-two".