23135792771520 has 1344 divisors, whose sum is σ = 102086252398080. Its totient is φ = 4872639283200.

The previous prime is 23135792771501. The next prime is 23135792771543. The reversal of 23135792771520 is 2517729753132.

It is a happy number.

23135792771520 is a `hidden beast` number, since 2 + 3 + 1 + 357 + 9 + 277 + 15 + 2 + 0 = 666.

It is a super-3 number, since 3×23135792771520³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 273007555 + ... + 273092285.

Almost surely, 2^{23135792771520} is an apocalyptic number.

23135792771520 is a gapful number since it is divisible by the number (20) 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 23135792771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51043126199040).

23135792771520 is an abundant number, since it is smaller than the sum of its proper divisors (78950459626560).

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

23135792771520 is a wasteful number, since it uses less digits than its factorization.

23135792771520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84811 (or 84782 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 23135792771520 in words is "twenty-three trillion, one hundred thirty-five billion, seven hundred ninety-two million, seven hundred seventy-one thousand, five hundred twenty".