59253340962816 has 3264 divisors, whose sum is σ = 247010744332800. Its totient is φ = 13965805486080.

The previous prime is 59253340962811. The next prime is 59253340962857. The reversal of 59253340962816 is 61826904335295.

It is a happy number.

59253340962816 is a `hidden beast` number, since 5 + 9 + 2 + 5 + 3 + 340 + 9 + 6 + 281 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59253340962811) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1004293914595 + ... + 1004293914653.

Almost surely, 2^{59253340962816} is an apocalyptic number.

59253340962816 is a gapful number since it is divisible by the number (56) 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 59253340962816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123505372166400).

59253340962816 is an abundant number, since it is smaller than the sum of its proper divisors (187757403369984).

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

59253340962816 is an frugal number, since it uses more digits than its factorization.

59253340962816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 59253340962816 in words is "fifty-nine trillion, two hundred fifty-three billion, three hundred forty million, nine hundred sixty-two thousand, eight hundred sixteen".