52767478632960 has 1920 divisors, whose sum is σ = 235269826767360. Its totient is φ = 11111480819712.

The previous prime is 52767478632889. The next prime is 52767478632991. The reversal of 52767478632960 is 6923687476725.

52767478632960 is a `hidden beast` number, since 5 + 2 + 7 + 6 + 7 + 478 + 63 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 32713873114 + ... + 32713874726.

It is an arithmetic number, because the mean of its divisors is an integer number (122536368108).

Almost surely, 2^{52767478632960} 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 52767478632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117634913383680).

52767478632960 is an abundant number, since it is smaller than the sum of its proper divisors (182502348134400).

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

52767478632960 is a wasteful number, since it uses less digits than its factorization.

52767478632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 52767478632960 in words is "fifty-two trillion, seven hundred sixty-seven billion, four hundred seventy-eight million, six hundred thirty-two thousand, nine hundred sixty".