20754260596368 has 1280 divisors, whose sum is σ = 71150446080000. Its totient is φ = 5735955824640.

The previous prime is 20754260596361. The next prime is 20754260596373. The reversal of 20754260596368 is 86369506245702.

20754260596368 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 4 + 2 + 6 + 0 + 596 + 36 + 8 = 666.

It is a super-2 number, since 2×20754260596368² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20754260596361) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32377941328 + ... + 32377941968.

It is an arithmetic number, because the mean of its divisors is an integer number (55586286000).

Almost surely, 2^{20754260596368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20754260596368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35575223040000).

20754260596368 is an abundant number, since it is smaller than the sum of its proper divisors (50396185483632).

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

20754260596368 is a wasteful number, since it uses less digits than its factorization.

20754260596368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 20754260596368 in words is "twenty trillion, seven hundred fifty-four billion, two hundred sixty million, five hundred ninety-six thousand, three hundred sixty-eight".