51157120 has 128 divisors (see below), whose sum is σ = 147369600. Its totient is φ = 16588800.

The previous prime is 51157091. The next prime is 51157123. The reversal of 51157120 is 2175115.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 51157091 and 51157100.

It is not an unprimeable number, because it can be changed into a prime (51157123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84820 + ... + 85420.

It is an arithmetic number, because the mean of its divisors is an integer number (1151325).

Almost surely, 2^51157120 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 51157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73684800).

51157120 is an abundant number, since it is smaller than the sum of its proper divisors (96212480).

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

51157120 is a wasteful number, since it uses less digits than its factorization.

51157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 22.

The square root of 51157120 is about 7152.4205692898. The cubic root of 51157120 is about 371.2234155859.

The spelling of 51157120 in words is "fifty-one million, one hundred fifty-seven thousand, one hundred twenty".