58452094080 has 192 divisors, whose sum is σ = 202249078200. Its totient is φ = 15555821568.

The previous prime is 58452094073. The next prime is 58452094087. The reversal of 58452094080 is 8049025485.

58452094080 is a `hidden beast` number, since 5 + 8 + 4 + 520 + 9 + 40 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (58452094073) and next prime (58452094087).

It can be written as a sum of positive squares in 4 ways, for example, as 46459215936 + 11992878144 = 215544^2 + 109512^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (58452094087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2921872 + ... + 2941808.

Almost surely, 2^58452094080 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 58452094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101124539100).

58452094080 is an abundant number, since it is smaller than the sum of its proper divisors (143796984120).

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

58452094080 is a wasteful number, since it uses less digits than its factorization.

58452094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20471 (or 20456 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 58452094080 in words is "fifty-eight billion, four hundred fifty-two million, ninety-four thousand, eighty".