51178680 has 192 divisors, whose sum is σ = 198581760. Its totient is φ = 11176704.

The previous prime is 51178667. The next prime is 51178693. The reversal of 51178680 is 8687115.

51178680 = 760² + 761² + ... + 839².

51178680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51178667) and next prime (51178693).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57519 + ... + 58401.

It is an arithmetic number, because the mean of its divisors is an integer number (1034280).

Almost surely, 2^51178680 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 51178680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99290880).

51178680 is an abundant number, since it is smaller than the sum of its proper divisors (147403080).

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

51178680 is a wasteful number, since it uses less digits than its factorization.

51178680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 51178680 is about 7153.9275925886. The cubic root of 51178680 is about 371.2755585574.

The spelling of 51178680 in words is "fifty-one million, one hundred seventy-eight thousand, six hundred eighty".