51075344400 has 120 divisors (see below), whose sum is σ = 164145473184. Its totient is φ = 13575628800.

The previous prime is 51075344389. The next prime is 51075344423. The reversal of 51075344400 is 444357015.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×51075344400² (a number of 22 digits) contains 22 as substring.

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, 299080 + ... + 437720.

Almost surely, 2^51075344400 is an apocalyptic number.

51075344400 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 51075344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82072736592).

51075344400 is an abundant number, since it is smaller than the sum of its proper divisors (113070128784).

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

51075344400 is a wasteful number, since it uses less digits than its factorization.

51075344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138969 (or 138958 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The spelling of 51075344400 in words is "fifty-one billion, seventy-five million, three hundred forty-four thousand, four hundred".