53119920 has 120 divisors (see below), whose sum is σ = 191599344. Its totient is φ = 12139008.

The previous prime is 53119897. The next prime is 53119931. The reversal of 53119920 is 2991135.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9502 + ... + 14018.

Almost surely, 2^53119920 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 53119920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95799672).

53119920 is an abundant number, since it is smaller than the sum of its proper divisors (138479424).

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

53119920 is a wasteful number, since it uses less digits than its factorization.

53119920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 53119920 is about 7288.3413751004. The cubic root of 53119920 is about 375.9116662873.

The spelling of 53119920 in words is "fifty-three million, one hundred nineteen thousand, nine hundred twenty".