51247904400 has 945 divisors, whose sum is σ = 228061976233. Its totient is φ = 10648915200.

The previous prime is 51247904377. The next prime is 51247904401. The reversal of 51247904400 is 440974215.

It is a happy number.

The square root of 51247904400 is 226380.

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

51247904400 is a `hidden beast` number, since 5 + 1 + 247 + 9 + 0 + 4 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18449245584 + 32798658816 = 135828^2 + 181104^2 .

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

It is not an unprimeable number, because it can be changed into a prime (51247904401) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 4658900395 + ... + 4658900405.

Almost surely, 2^51247904400 is an apocalyptic number.

51247904400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51247904400 is the 226380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51247904400

51247904400 is an abundant number, since it is smaller than the sum of its proper divisors (176814071833).

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

51247904400 is an equidigital number, since it uses as much as digits as its factorization.

51247904400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 51247904400 by its sum of digits (36), we get a square (1844924558400 = 1358280²).

51247904400 divided by its sum of digits (36) gives a square (1423552900 = 37730²).

The spelling of 51247904400 in words is "fifty-one billion, two hundred forty-seven million, nine hundred four thousand, four hundred".