52792718400 has 252 divisors, whose sum is σ = 190716988644. Its totient is φ = 13847040000.

The previous prime is 52792718389. The next prime is 52792718449. The reversal of 52792718400 is 481729725.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9953653824 + 42839064576 = 99768^2 + 206976^2 .

It is a super-2 number, since 2×52792718400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 848350 + ... + 908450.

It is an arithmetic number, because the mean of its divisors is an integer number (756813447).

Almost surely, 2^52792718400 is an apocalyptic number.

52792718400 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 52792718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95358494322).

52792718400 is an abundant number, since it is smaller than the sum of its proper divisors (137924270244).

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

52792718400 is a wasteful number, since it uses less digits than its factorization.

52792718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60190 (or 60172 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 52792718400 in words is "fifty-two billion, seven hundred ninety-two million, seven hundred eighteen thousand, four hundred".