59755596406272 has 720 divisors, whose sum is σ = 192606466111488. Its totient is φ = 17816072601600.

The previous prime is 59755596406237. The next prime is 59755596406313. The reversal of 59755596406272 is 27260469555795.

59755596406272 is a `hidden beast` number, since 5 + 9 + 7 + 5 + 5 + 596 + 4 + 0 + 6 + 27 + 2 = 666.

It is a super-2 number, since 2×59755596406272² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 59755596406272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4252757647 + ... + 4252771697.

Almost surely, 2^{59755596406272} is an apocalyptic number.

59755596406272 is a gapful number since it is divisible by the number (52) 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 59755596406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96303233055744).

59755596406272 is an abundant number, since it is smaller than the sum of its proper divisors (132850869705216).

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

59755596406272 is a wasteful number, since it uses less digits than its factorization.

59755596406272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14271 (or 14239 counting only the distinct ones).

The product of its (nonzero) digits is 1428840000, while the sum is 72.

The spelling of 59755596406272 in words is "fifty-nine trillion, seven hundred fifty-five billion, five hundred ninety-six million, four hundred six thousand, two hundred seventy-two".