51079454400 has 168 divisors, whose sum is σ = 180474410704. Its totient is φ = 12573388800.

The previous prime is 51079454383. The next prime is 51079454431. The reversal of 51079454400 is 445497015.

It is a super-2 number, since 2×51079454400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346891 + ... + 471690.

Almost surely, 2^51079454400 is an apocalyptic number.

51079454400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51079454400 is an abundant number, since it is smaller than the sum of its proper divisors (129394956304).

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

51079454400 is a wasteful number, since it uses less digits than its factorization.

51079454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818619 (or 818604 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 51079454400 in words is "fifty-one billion, seventy-nine million, four hundred fifty-four thousand, four hundred".