51378120 has 96 divisors (see below), whose sum is σ = 170913600. Its totient is φ = 13378176.

The previous prime is 51378101. The next prime is 51378143. The reversal of 51378120 is 2187315.

It is a super-2 number, since 2×51378120² = 5279422429468800, which 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, 13821 + ... + 17139.

It is an arithmetic number, because the mean of its divisors is an integer number (1780350).

Almost surely, 2^51378120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51378120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85456800).

51378120 is an abundant number, since it is smaller than the sum of its proper divisors (119535480).

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

51378120 is a wasteful number, since it uses less digits than its factorization.

51378120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 51378120 is about 7167.8532351046. The cubic root of 51378120 is about 371.7572123722.

The spelling of 51378120 in words is "fifty-one million, three hundred seventy-eight thousand, one hundred twenty".