52956795600 has 360 divisors, whose sum is σ = 197163526560. Its totient is φ = 13634127360.

The previous prime is 52956795583. The next prime is 52956795607. The reversal of 52956795600 is 659765925.

It is a happy number.

52956795600 is a `hidden beast` number, since 5 + 2 + 9 + 5 + 6 + 79 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52956795607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2809407 + ... + 2828193.

Almost surely, 2^52956795600 is an apocalyptic number.

52956795600 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 52956795600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98581763280).

52956795600 is an abundant number, since it is smaller than the sum of its proper divisors (144206730960).

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

52956795600 is a wasteful number, since it uses less digits than its factorization.

52956795600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18849 (or 18826 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 52956795600 in words is "fifty-two billion, nine hundred fifty-six million, seven hundred ninety-five thousand, six hundred".