53779520 has 56 divisors (see below), whose sum is σ = 133648704. Its totient is φ = 20573696.

The previous prime is 53779507. The next prime is 53779549. The reversal of 53779520 is 2597735.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3707 + ... + 11013.

It is an arithmetic number, because the mean of its divisors is an integer number (2386584).

Almost surely, 2^53779520 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 53779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66824352).

53779520 is an abundant number, since it is smaller than the sum of its proper divisors (79869184).

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

53779520 is a wasteful number, since it uses less digits than its factorization.

53779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347 (or 7337 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 38.

The square root of 53779520 is about 7333.4521202501. The cubic root of 53779520 is about 377.4611921570.

The spelling of 53779520 in words is "fifty-three million, seven hundred seventy-nine thousand, five hundred twenty".