53158968115200 has 1080 divisors, whose sum is σ = 195362708283288. Its totient is φ = 13811696271360.

The previous prime is 53158968115163. The next prime is 53158968115237. The reversal of 53158968115200 is 251186985135.

53158968115200 is a `hidden beast` number, since 5 + 3 + 1 + 58 + 9 + 68 + 1 + 1 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53158968115163) and next prime (53158968115237).

It can be written as a sum of positive squares in 12 ways, for example, as 14751498829824 + 38407469285376 = 3840768^2 + 6197376^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30674533534 + ... + 30674535266.

Almost surely, 2^{53158968115200} is an apocalyptic number.

53158968115200 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 53158968115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97681354141644).

53158968115200 is an abundant number, since it is smaller than the sum of its proper divisors (142203740168088).

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

53158968115200 is a wasteful number, since it uses less digits than its factorization.

53158968115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 53158968115200 in words is "fifty-three trillion, one hundred fifty-eight billion, nine hundred sixty-eight million, one hundred fifteen thousand, two hundred".