132653624378760 has 384 divisors, whose sum is σ = 435789913104000. Its totient is φ = 34993975492608.

The previous prime is 132653624378663. The next prime is 132653624378773. The reversal of 132653624378760 is 67873426356231.

132653624378760 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 5 + 3 + 62 + 437 + 87 + 60 = 666.

It is a super-2 number, since 2×132653624378760² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11083094056 + ... + 11083106024.

It is an arithmetic number, because the mean of its divisors is an integer number (1134869565375).

Almost surely, 2^{132653624378760} is an apocalyptic number.

132653624378760 is a gapful number since it is divisible by the number (10) 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 132653624378760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217894956552000).

132653624378760 is an abundant number, since it is smaller than the sum of its proper divisors (303136288725240).

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

132653624378760 is a wasteful number, since it uses less digits than its factorization.

132653624378760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13045 (or 13038 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 132653624378760 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, six hundred twenty-four million, three hundred seventy-eight thousand, seven hundred sixty".