51792825600 has 756 divisors, whose sum is σ = 203822915436. Its totient is φ = 12979077120.

The previous prime is 51792825599. The next prime is 51792825619. The reversal of 51792825600 is 652829715.

51792825600 is a `hidden beast` number, since 5 + 1 + 7 + 9 + 2 + 82 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 940771584 + 50852054016 = 30672^2 + 225504^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 79314874 + ... + 79315526.

It is an arithmetic number, because the mean of its divisors is an integer number (269607031).

Almost surely, 2^51792825600 is an apocalyptic number.

51792825600 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 51792825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101911457718).

51792825600 is an abundant number, since it is smaller than the sum of its proper divisors (152030089836).

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

51792825600 is an equidigital number, since it uses as much as digits as its factorization.

51792825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 51792825600 in words is "fifty-one billion, seven hundred ninety-two million, eight hundred twenty-five thousand, six hundred".