53981280 has 144 divisors (see below), whose sum is σ = 194004720. Its totient is φ = 13630464.

The previous prime is 53981251. The next prime is 53981309. The reversal of 53981280 is 8218935.

It is an interprime number because it is at equal distance from previous prime (53981251) and next prime (53981309).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 26374 + ... + 28346.

It is an arithmetic number, because the mean of its divisors is an integer number (1347255).

Almost surely, 2^53981280 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 53981280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97002360).

53981280 is an abundant number, since it is smaller than the sum of its proper divisors (140023440).

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

53981280 is a wasteful number, since it uses less digits than its factorization.

53981280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 53981280 is about 7347.1953832738. The cubic root of 53981280 is about 377.9326326573.

The spelling of 53981280 in words is "fifty-three million, nine hundred eighty-one thousand, two hundred eighty".