52267084800 has 1584 divisors, whose sum is σ = 229176224640. Its totient is φ = 10404495360.

The previous prime is 52267084729. The next prime is 52267084841. The reversal of 52267084800 is 848076225.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1215513579 + ... + 1215513621.

It is an arithmetic number, because the mean of its divisors is an integer number (144681960).

Almost surely, 2^52267084800 is an apocalyptic number.

52267084800 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 52267084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114588112320).

52267084800 is an abundant number, since it is smaller than the sum of its proper divisors (176909139840).

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

52267084800 is a wasteful number, since it uses less digits than its factorization.

52267084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 52267084800 in words is "fifty-two billion, two hundred sixty-seven million, eighty-four thousand, eight hundred".