52554959364096 has 2240 divisors, whose sum is σ = 198678344832000. Its totient is φ = 13831736131584.

The previous prime is 52554959364023. The next prime is 52554959364097. The reversal of 52554959364096 is 69046395945525.

52554959364096 is a `hidden beast` number, since 5 + 2 + 5 + 5 + 495 + 9 + 3 + 6 + 40 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52554959364097) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1118190624745 + ... + 1118190624791.

Almost surely, 2^{52554959364096} is an apocalyptic number.

52554959364096 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 52554959364096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99339172416000).

52554959364096 is an abundant number, since it is smaller than the sum of its proper divisors (146123385467904).

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

52554959364096 is an frugal number, since it uses more digits than its factorization.

52554959364096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1574640000, while the sum is 72.

The spelling of 52554959364096 in words is "fifty-two trillion, five hundred fifty-four billion, nine hundred fifty-nine million, three hundred sixty-four thousand, ninety-six".