52242796800 has 540 divisors, whose sum is σ = 194589576720. Its totient is φ = 13828976640.

The previous prime is 52242796787. The next prime is 52242796867. The reversal of 52242796800 is 869724225.

52242796800 is a `hidden beast` number, since 522 + 42 + 7 + 9 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 92793319 + ... + 92793881.

It is an arithmetic number, because the mean of its divisors is an integer number (360351068).

Almost surely, 2^52242796800 is an apocalyptic number.

52242796800 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 52242796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97294788360).

52242796800 is an abundant number, since it is smaller than the sum of its proper divisors (142346779920).

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

52242796800 is a wasteful number, since it uses less digits than its factorization.

52242796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 52242796800 in words is "fifty-two billion, two hundred forty-two million, seven hundred ninety-six thousand, eight hundred".