20954160864 has 720 divisors, whose sum is σ = 79518989088. Its totient is φ = 5377010688.

The previous prime is 20954160817. The next prime is 20954160919. The reversal of 20954160864 is 46806145902.

20954160864 is a `hidden beast` number, since 20 + 9 + 541 + 6 + 0 + 86 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 566328654 + ... + 566328690.

Almost surely, 2^20954160864 is an apocalyptic number.

20954160864 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 20954160864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39759494544).

20954160864 is an abundant number, since it is smaller than the sum of its proper divisors (58564828224).

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

20954160864 is an frugal number, since it uses more digits than its factorization.

20954160864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20954160864 in words is "twenty billion, nine hundred fifty-four million, one hundred sixty thousand, eight hundred sixty-four".