20772264779136 has 768 divisors, whose sum is σ = 68803864584000. Its totient is φ = 6169173663744.

The previous prime is 20772264779131. The next prime is 20772264779177. The reversal of 20772264779136 is 63197746227702.

20772264779136 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 2 + 26 + 477 + 9 + 136 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20772264779131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6385570086 + ... + 6385573338.

Almost surely, 2^{20772264779136} is an apocalyptic number.

20772264779136 is a gapful number since it is divisible by the number (26) 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 20772264779136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34401932292000).

20772264779136 is an abundant number, since it is smaller than the sum of its proper divisors (48031599804864).

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

20772264779136 is an equidigital number, since it uses as much as digits as its factorization.

20772264779136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 74680704, while the sum is 63.

The spelling of 20772264779136 in words is "twenty trillion, seven hundred seventy-two billion, two hundred sixty-four million, seven hundred seventy-nine thousand, one hundred thirty-six".