52152076800 has 720 divisors, whose sum is σ = 202242680640. Its totient is φ = 13302558720.

The previous prime is 52152076789. The next prime is 52152076817. The reversal of 52152076800 is 867025125.

It is a happy number.

52152076800 is a `hidden beast` number, since 52 + 1 + 520 + 7 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×52152076800² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2267481589 + ... + 2267481611.

It is an arithmetic number, because the mean of its divisors is an integer number (280892612).

Almost surely, 2^52152076800 is an apocalyptic number.

52152076800 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 52152076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101121340320).

52152076800 is an abundant number, since it is smaller than the sum of its proper divisors (150090603840).

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

52152076800 is an frugal number, since it uses more digits than its factorization.

52152076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 52152076800 in words is "fifty-two billion, one hundred fifty-two million, seventy-six thousand, eight hundred".