52615292461200 has 1440 divisors, whose sum is σ = 233912479000320. Its totient is φ = 11159363174400.

The previous prime is 52615292461177. The next prime is 52615292461273. The reversal of 52615292461200 is 216429251625.

52615292461200 is a `hidden beast` number, since 5 + 2 + 6 + 1 + 5 + 2 + 9 + 24 + 612 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 638703214 + ... + 638785586.

It is an arithmetic number, because the mean of its divisors is an integer number (162439221528).

Almost surely, 2^{52615292461200} is an apocalyptic number.

52615292461200 is a gapful number since it is divisible by the number (50) 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 52615292461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116956239500160).

52615292461200 is an abundant number, since it is smaller than the sum of its proper divisors (181297186539120).

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

52615292461200 is a wasteful number, since it uses less digits than its factorization.

52615292461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82502 (or 82478 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 52615292461200 in words is "fifty-two trillion, six hundred fifteen billion, two hundred ninety-two million, four hundred sixty-one thousand, two hundred".