58053520 has 80 divisors (see below), whose sum is σ = 156240000. Its totient is φ = 19648512.

The previous prime is 58053511. The next prime is 58053533. The reversal of 58053520 is 2535085.

58053520 = T₁₁₄₁ + T₁₁₄₂ + ... + T₁₂₂₃.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×58053520² = 6740422368780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45856 + ... + 47104.

It is an arithmetic number, because the mean of its divisors is an integer number (1953000).

Almost surely, 2^58053520 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 58053520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120000).

58053520 is an abundant number, since it is smaller than the sum of its proper divisors (98186480).

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

58053520 is a wasteful number, since it uses less digits than its factorization.

58053520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 58053520 is about 7619.2860557929. The cubic root of 58053520 is about 387.2066902858.

The spelling of 58053520 in words is "fifty-eight million, fifty-three thousand, five hundred twenty".