51158400 has 144 divisors (see below), whose sum is σ = 170842860. Its totient is φ = 13455360.

The previous prime is 51158399. The next prime is 51158413. The reversal of 51158400 is 485115.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 700764 + ... + 700836.

Almost surely, 2^51158400 is an apocalyptic number.

51158400 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 51158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85421430).

51158400 is an abundant number, since it is smaller than the sum of its proper divisors (119684460).

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

51158400 is an equidigital number, since it uses as much as digits as its factorization.

51158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 51158400 is about 7152.5100489269. The cubic root of 51158400 is about 371.2265116816.

Multiplying 51158400 by its sum of digits (24), we get a square (1227801600 = 35040²).

51158400 divided by its sum of digits (24) gives a square (2131600 = 1460²).

The spelling of 51158400 in words is "fifty-one million, one hundred fifty-eight thousand, four hundred".