55765120 has 32 divisors (see below), whose sum is σ = 133315020. Its totient is φ = 22305792.

The previous prime is 55765097. The next prime is 55765121. The reversal of 55765120 is 2156755.

It can be written as a sum of positive squares in 2 ways, for example, as 55711296 + 53824 = 7464^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×55765120² = 6219497217228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55765121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42927 + ... + 44206.

Almost surely, 2^55765120 is an apocalyptic number.

It is an amenable number.

55765120 is an abundant number, since it is smaller than the sum of its proper divisors (77549900).

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

55765120 is an equidigital number, since it uses as much as digits as its factorization.

55765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87152 (or 87140 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 31.

The square root of 55765120 is about 7467.6047029821. The cubic root of 55765120 is about 382.0505949816.

The spelling of 55765120 in words is "fifty-five million, seven hundred sixty-five thousand, one hundred twenty".