20776074891264 has 2080 divisors, whose sum is σ = 85038275266560. Its totient is φ = 4887458611200.

The previous prime is 20776074891227. The next prime is 20776074891323. The reversal of 20776074891264 is 46219847067702.

20776074891264 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 607 + 4 + 8 + 9 + 12 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11163929694 + ... + 11163931554.

Almost surely, 2^{20776074891264} is an apocalyptic number.

20776074891264 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 20776074891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42519137633280).

20776074891264 is an abundant number, since it is smaller than the sum of its proper divisors (64262200375296).

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

20776074891264 is a wasteful number, since it uses less digits than its factorization.

20776074891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 20776074891264 in words is "twenty trillion, seven hundred seventy-six billion, seventy-four million, eight hundred ninety-one thousand, two hundred sixty-four".