58553880 has 128 divisors (see below), whose sum is σ = 219041280. Its totient is φ = 12165120.

The previous prime is 58553879. The next prime is 58553881. The reversal of 58553880 is 8835585.

It is an interprime number because it is at equal distance from previous prime (58553879) and next prime (58553881).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58553881) 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, 6072 + ... + 12408.

It is an arithmetic number, because the mean of its divisors is an integer number (1711260).

Almost surely, 2^58553880 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 58553880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109520640).

58553880 is an abundant number, since it is smaller than the sum of its proper divisors (160487400).

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

58553880 is a wasteful number, since it uses less digits than its factorization.

58553880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6365 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The square root of 58553880 is about 7652.0507055299. The cubic root of 58553880 is about 388.3159469990.

The spelling of 58553880 in words is "fifty-eight million, five hundred fifty-three thousand, eight hundred eighty".