20764052015616 has 2160 divisors, whose sum is σ = 82325307296232. Its totient is φ = 4976321495040.

The previous prime is 20764052015573. The next prime is 20764052015617. The reversal of 20764052015616 is 61651025046702.

20764052015616 is a `hidden beast` number, since 2 + 0 + 7 + 6 + 4 + 0 + 5 + 20 + 1 + 5 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12913385990400 + 7850666025216 = 3593520^2 + 2801904^2 .

It is a super-2 number, since 2×20764052015616² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20764052015617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 47953930536 + ... + 47953930968.

Almost surely, 2^{20764052015616} is an apocalyptic number.

20764052015616 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 20764052015616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41162653648116).

20764052015616 is an abundant number, since it is smaller than the sum of its proper divisors (61561255280616).

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

20764052015616 is a wasteful number, since it uses less digits than its factorization.

20764052015616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 20764052015616 in words is "twenty trillion, seven hundred sixty-four billion, fifty-two million, fifteen thousand, six hundred sixteen".