52995686400 has 432 divisors, whose sum is σ = 195034392000. Its totient is φ = 14108590080.

The previous prime is 52995686399. The next prime is 52995686431. The reversal of 52995686400 is 468659925.

It is a happy number.

52995686400 is a `hidden beast` number, since 529 + 9 + 56 + 8 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88473301 + ... + 88473899.

It is an arithmetic number, because the mean of its divisors is an integer number (451468500).

Almost surely, 2^52995686400 is an apocalyptic number.

52995686400 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 52995686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97517196000).

52995686400 is an abundant number, since it is smaller than the sum of its proper divisors (142038705600).

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

52995686400 is an frugal number, since it uses more digits than its factorization.

52995686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 52995686400 in words is "fifty-two billion, nine hundred ninety-five million, six hundred eighty-six thousand, four hundred".