20082978432 has 256 divisors, whose sum is σ = 64840176000. Its totient is φ = 6068920320.

The previous prime is 20082978367. The next prime is 20082978457. The reversal of 20082978432 is 23487928002.

20082978432 is a `hidden beast` number, since 200 + 8 + 2 + 9 + 7 + 8 + 432 = 666.

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, 24824044 + ... + 24824852.

Almost surely, 2^20082978432 is an apocalyptic number.

20082978432 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 20082978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32420088000).

20082978432 is an abundant number, since it is smaller than the sum of its proper divisors (44757197568).

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

20082978432 is a wasteful number, since it uses less digits than its factorization.

20082978432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20082978432 in words is "twenty billion, eighty-two million, nine hundred seventy-eight thousand, four hundred thirty-two".