51957120 has 64 divisors (see below), whose sum is σ = 165619440. Its totient is φ = 13854720.

The previous prime is 51957071. The next prime is 51957121. The reversal of 51957120 is 2175915.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51957121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11611 + ... + 15450.

Almost surely, 2^51957120 is an apocalyptic number.

It is an amenable number.

51957120 is an abundant number, since it is smaller than the sum of its proper divisors (113662320).

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

51957120 is a wasteful number, since it uses less digits than its factorization.

51957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27083 (or 27071 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 51957120 is about 7208.1287446882. The cubic root of 51957120 is about 373.1484912639.

The spelling of 51957120 in words is "fifty-one million, nine hundred fifty-seven thousand, one hundred twenty".