52002816000 has 456 divisors, whose sum is σ = 180916763664. Its totient is φ = 13264486400.

The previous prime is 52002815989. The next prime is 52002816029. The reversal of 52002816000 is 61820025.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2260991989 + ... + 2260992011.

Almost surely, 2^52002816000 is an apocalyptic number.

52002816000 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 52002816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90458381832).

52002816000 is an abundant number, since it is smaller than the sum of its proper divisors (128913947664).

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

52002816000 is an frugal number, since it uses more digits than its factorization.

52002816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Multiplying 52002816000 by its product of nonzero digits (960), we get a square (49922703360000 = 7065600²).

52002816000 divided by its product of nonzero digits (960) gives a square (54169600 = 7360²).

The spelling of 52002816000 in words is "fifty-two billion, two million, eight hundred sixteen thousand".