51166404 has 60 divisors (see below), whose sum is σ = 135520000. Its totient is φ = 16831152.

The previous prime is 51166391. The next prime is 51166439. The reversal of 51166404 is 40466115.

51166404 is a `hidden beast` number, since 5 + 1 + 16 + 640 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24597 + ... + 26595.

Almost surely, 2^51166404 is an apocalyptic number.

51166404 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51166404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67760000).

51166404 is an abundant number, since it is smaller than the sum of its proper divisors (84353596).

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

51166404 is a wasteful number, since it uses less digits than its factorization.

51166404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 51166404 is about 7153.0695508991. The cubic root of 51166404 is about 371.2458707836.

It can be divided in two parts, 5116640 and 4, that added together give a square (5116644 = 2262²).

The spelling of 51166404 in words is "fifty-one million, one hundred sixty-six thousand, four hundred four".