51335450400 has 144 divisors (see below), whose sum is σ = 179950607424. Its totient is φ = 12636410880.

The previous prime is 51335450399. The next prime is 51335450417. The reversal of 51335450400 is 405453315.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 791484 + ... + 853883.

It is an arithmetic number, because the mean of its divisors is an integer number (1249656996).

Almost surely, 2^51335450400 is an apocalyptic number.

51335450400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51335450400 is an abundant number, since it is smaller than the sum of its proper divisors (128615157024).

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

51335450400 is a wasteful number, since it uses less digits than its factorization.

51335450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645403 (or 1645390 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 51335450400 in words is "fifty-one billion, three hundred thirty-five million, four hundred fifty thousand, four hundred".