20882934432 has 96 divisors (see below), whose sum is σ = 61031880000. Its totient is φ = 6946884864.

The previous prime is 20882934353. The next prime is 20882934451. The reversal of 20882934432 is 23443928802.

20882934432 is a `hidden beast` number, since 208 + 8 + 2 + 9 + 3 + 4 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20882934432² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406918 + ... + 455354.

It is an arithmetic number, because the mean of its divisors is an integer number (635748750).

Almost surely, 2^20882934432 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 20882934432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30515940000).

20882934432 is an abundant number, since it is smaller than the sum of its proper divisors (40148945568).

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

20882934432 is a wasteful number, since it uses less digits than its factorization.

20882934432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48955 (or 48941 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 20882934432 in words is "twenty billion, eight hundred eighty-two million, nine hundred thirty-four thousand, four hundred thirty-two".