52467264000 has 800 divisors, whose sum is σ = 202756554000. Its totient is φ = 13470105600.

The previous prime is 52467263987. The next prime is 52467264043. The reversal of 52467264000 is 46276425.

52467264000 is a `hidden beast` number, since 5 + 2 + 4 + 6 + 7 + 2 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4999055616 + 47468208384 = 70704^2 + 217872^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150335826 + ... + 150336174.

Almost surely, 2^52467264000 is an apocalyptic number.

52467264000 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 52467264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101378277000).

52467264000 is an abundant number, since it is smaller than the sum of its proper divisors (150289290000).

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

52467264000 is an equidigital number, since it uses as much as digits as its factorization.

52467264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 52467264000 in words is "fifty-two billion, four hundred sixty-seven million, two hundred sixty-four thousand".