52956288000 has 1408 divisors, whose sum is σ = 245246976000. Its totient is φ = 10948608000.

The previous prime is 52956287959. The next prime is 52956288029. The reversal of 52956288000 is 88265925.

52956288000 is a `hidden beast` number, since 5 + 2 + 9 + 562 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 266111901 + ... + 266112099.

Almost surely, 2^52956288000 is an apocalyptic number.

52956288000 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 52956288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122623488000).

52956288000 is an abundant number, since it is smaller than the sum of its proper divisors (192290688000).

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

52956288000 is a wasteful number, since it uses less digits than its factorization.

52956288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 52956288000 in words is "fifty-two billion, nine hundred fifty-six million, two hundred eighty-eight thousand".