52268654592000 has 4896 divisors, whose sum is σ = 253410263887872. Its totient is φ = 10510663680000.

The previous prime is 52268654591977. The next prime is 52268654592001. The reversal of 52268654592000 is 29545686225.

It is a happy number.

52268654592000 is a `hidden beast` number, since 5 + 2 + 2 + 6 + 8 + 6 + 545 + 92 + 0 + 0 + 0 = 666.

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 (52268654592001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1686085631985 + ... + 1686085632015.

Almost surely, 2^{52268654592000} is an apocalyptic number.

52268654592000 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 52268654592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126705131943936).

52268654592000 is an abundant number, since it is smaller than the sum of its proper divisors (201141609295872).

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

52268654592000 is an frugal number, since it uses more digits than its factorization.

52268654592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 52268654592000 in words is "fifty-two trillion, two hundred sixty-eight billion, six hundred fifty-four million, five hundred ninety-two thousand".