53114880 has 384 divisors, whose sum is σ = 220147200. Its totient is φ = 10616832.

The previous prime is 53114879. The next prime is 53114881. The reversal of 53114880 is 8841135.

It is an interprime number because it is at equal distance from previous prime (53114879) and next prime (53114881).

It is a tau number, because it is divible by the number of its divisors (384).

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 (53114881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2795511 + ... + 2795529.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 2^53114880 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 53114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

53114880 is an abundant number, since it is smaller than the sum of its proper divisors (167032320).

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

53114880 is a wasteful number, since it uses less digits than its factorization.

53114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 53114880 is about 7287.9956092193. The cubic root of 53114880 is about 375.8997771207.

The spelling of 53114880 in words is "fifty-three million, one hundred fourteen thousand, eight hundred eighty".