51655680 has 264 divisors, whose sum is σ = 191599200. Its totient is φ = 12828672.

The previous prime is 51655657. The next prime is 51655687. The reversal of 51655680 is 8655615.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51655687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875491 + ... + 875549.

Almost surely, 2^51655680 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 51655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95799600).

51655680 is an abundant number, since it is smaller than the sum of its proper divisors (139943520).

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

51655680 is a wasteful number, since it uses less digits than its factorization.

51655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 51655680 is about 7187.1886019500. The cubic root of 51655680 is about 372.4254584114.

It can be divided in two parts, 516556 and 80, that added together give a triangular number (516636 = T₁₀₁₆).

The spelling of 51655680 in words is "fifty-one million, six hundred fifty-five thousand, six hundred eighty".