52813707791040 has 672 divisors, whose sum is σ = 215585711437824. Its totient is φ = 12055537152000.

The previous prime is 52813707791011. The next prime is 52813707791041. The reversal of 52813707791040 is 4019770731825.

52813707791040 is a `hidden beast` number, since 5 + 2 + 81 + 370 + 77 + 91 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (52813707791041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408719722 + ... + 408848918.

It is an arithmetic number, because the mean of its divisors is an integer number (320812070592).

Almost surely, 2^{52813707791040} 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 52813707791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107792855718912).

52813707791040 is an abundant number, since it is smaller than the sum of its proper divisors (162772003646784).

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

52813707791040 is a wasteful number, since it uses less digits than its factorization.

52813707791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129987 (or 129965 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 52813707791040 in words is "fifty-two trillion, eight hundred thirteen billion, seven hundred seven million, seven hundred ninety-one thousand, forty".