51149030400 has 396 divisors, whose sum is σ = 197236793572. Its totient is φ = 12589793280.

The previous prime is 51149030353. The next prime is 51149030437. The reversal of 51149030400 is 403094115.

It can be written as a sum of positive squares in 6 ways, for example, as 6705644544 + 44443385856 = 81888^2 + 210816^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2986662 + ... + 3003738.

Almost surely, 2^51149030400 is an apocalyptic number.

51149030400 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 51149030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98618396786).

51149030400 is an abundant number, since it is smaller than the sum of its proper divisors (146087763172).

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

51149030400 is a wasteful number, since it uses less digits than its factorization.

51149030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17126 (or 17100 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 51149030400 in words is "fifty-one billion, one hundred forty-nine million, thirty thousand, four hundred".