51178400 has 288 divisors, whose sum is σ = 166239360. Its totient is φ = 14929920.

The previous prime is 51178399. The next prime is 51178447. The reversal of 51178400 is 487115.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 51178400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1383182 + ... + 1383218.

It is an arithmetic number, because the mean of its divisors is an integer number (577220).

Almost surely, 2^51178400 is an apocalyptic number.

51178400 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 51178400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83119680).

51178400 is an abundant number, since it is smaller than the sum of its proper divisors (115060960).

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

51178400 is a wasteful number, since it uses less digits than its factorization.

51178400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 51178400 is about 7153.9080228921. The cubic root of 51178400 is about 371.2748814698.

The spelling of 51178400 in words is "fifty-one million, one hundred seventy-eight thousand, four hundred".