52835691955200 has 1584 divisors, whose sum is σ = 221442568768512. Its totient is φ = 10874806272000.

The previous prime is 52835691955153. The next prime is 52835691955213. The reversal of 52835691955200 is 255919653825.

It is a super-2 number, since 2×52835691955200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6960303405 + ... + 6960310995.

Almost surely, 2^{52835691955200} is an apocalyptic number.

52835691955200 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 52835691955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110721284384256).

52835691955200 is an abundant number, since it is smaller than the sum of its proper divisors (168606876813312).

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

52835691955200 is a wasteful number, since it uses less digits than its factorization.

52835691955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7760 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 60.

The spelling of 52835691955200 in words is "fifty-two trillion, eight hundred thirty-five billion, six hundred ninety-one million, nine hundred fifty-five thousand, two hundred".