51885960 has 128 divisors (see below), whose sum is σ = 187315200. Its totient is φ = 11232000.

The previous prime is 51885949. The next prime is 51885973. The reversal of 51885960 is 6958815.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 14335 + ... + 17585.

It is an arithmetic number, because the mean of its divisors is an integer number (1463400).

Almost surely, 2^51885960 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 51885960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93657600).

51885960 is an abundant number, since it is smaller than the sum of its proper divisors (135429240).

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

51885960 is a wasteful number, since it uses less digits than its factorization.

51885960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 51885960 is about 7203.1909595678. The cubic root of 51885960 is about 372.9780598374.

The spelling of 51885960 in words is "fifty-one million, eight hundred eighty-five thousand, nine hundred sixty".