20506932864 has 768 divisors, whose sum is σ = 73256400000. Its totient is φ = 5620285440.

The previous prime is 20506932851. The next prime is 20506932877. The reversal of 20506932864 is 46823960502.

20506932864 is a `hidden beast` number, since 205 + 0 + 69 + 328 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (20506932851) and next prime (20506932877).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230414932 + ... + 230415020.

Almost surely, 2^20506932864 is an apocalyptic number.

20506932864 is a gapful number since it is divisible by the number (24) 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 20506932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36628200000).

20506932864 is an abundant number, since it is smaller than the sum of its proper divisors (52749467136).

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

20506932864 is a wasteful number, since it uses less digits than its factorization.

20506932864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20506932864 in words is "twenty billion, five hundred six million, nine hundred thirty-two thousand, eight hundred sixty-four".