51409680 has 160 divisors (see below), whose sum is σ = 185131008. Its totient is φ = 11558400.

The previous prime is 51409643. The next prime is 51409691. The reversal of 51409680 is 8690415.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119065 + ... + 119495.

Almost surely, 2^51409680 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 51409680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92565504).

51409680 is an abundant number, since it is smaller than the sum of its proper divisors (133721328).

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

51409680 is a wasteful number, since it uses less digits than its factorization.

51409680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 51409680 is about 7170.0543930991. The cubic root of 51409680 is about 371.8333164681.

The spelling of 51409680 in words is "fifty-one million, four hundred nine thousand, six hundred eighty".