20278979295264 has 768 divisors, whose sum is σ = 64029101875200. Its totient is φ = 6228298137600.

The previous prime is 20278979295247. The next prime is 20278979295293. The reversal of 20278979295264 is 46259297987202.

20278979295264 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 8 + 9 + 7 + 92 + 9 + 526 + 4 = 666.

It is a super-2 number, since 2×20278979295264² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 20278979295192 and 20278979295201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27293376877 + ... + 27293377619.

It is an arithmetic number, because the mean of its divisors is an integer number (83371226400).

Almost surely, 2^{20278979295264} is an apocalyptic number.

20278979295264 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 20278979295264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32014550937600).

20278979295264 is an abundant number, since it is smaller than the sum of its proper divisors (43750122579936).

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

20278979295264 is a wasteful number, since it uses less digits than its factorization.

20278979295264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 20278979295264 in words is "twenty trillion, two hundred seventy-eight billion, nine hundred seventy-nine million, two hundred ninety-five thousand, two hundred sixty-four".