53200080 has 120 divisors (see below), whose sum is σ = 183584232. Its totient is φ = 13796352.

The previous prime is 53200067. The next prime is 53200093. The reversal of 53200080 is 8000235.

It is an interprime number because it is at equal distance from previous prime (53200067) and next prime (53200093).

It can be written as a sum of positive squares in 4 ways, for example, as 2903616 + 50296464 = 1704^2 + 7092^2 .

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 (18).

It is a congruent number.

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, 25642 + ... + 27638.

Almost surely, 2^53200080 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 53200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91792116).

53200080 is an abundant number, since it is smaller than the sum of its proper divisors (130384152).

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

53200080 is a wasteful number, since it uses less digits than its factorization.

53200080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 53200080 is about 7293.8384956071. The cubic root of 53200080 is about 376.1006596350.

The spelling of 53200080 in words is "fifty-three million, two hundred thousand, eighty".