51674382400 has 63 divisors (see below), whose sum is σ = 127173655101. Its totient is φ = 20666115840.

The previous prime is 51674382379. The next prime is 51674382439. The reversal of 51674382400 is 428347615.

The square root of 51674382400 is 227320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18602777664 + 33071604736 = 136392^2 + 181856^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9089959 + ... + 9095641.

Almost surely, 2^51674382400 is an apocalyptic number.

51674382400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51674382400 is the 227320-th square number.

It is an amenable number.

51674382400 is an abundant number, since it is smaller than the sum of its proper divisors (75499272701).

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

51674382400 is an frugal number, since it uses more digits than its factorization.

51674382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11388 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 51674382400 in words is "fifty-one billion, six hundred seventy-four million, three hundred eighty-two thousand, four hundred".