58072052736000 has 448 divisors, whose sum is σ = 214724541807360. Its totient is φ = 15485873356800.

The previous prime is 58072052735959. The next prime is 58072052736011. The reversal of 58072052736000 is 63725027085.

58072052736000 is a `hidden beast` number, since 5 + 80 + 7 + 205 + 2 + 7 + 360 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26597797 + ... + 28698203.

Almost surely, 2^{58072052736000} is an apocalyptic number.

58072052736000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58072052736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107362270903680).

58072052736000 is an abundant number, since it is smaller than the sum of its proper divisors (156652489071360).

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

58072052736000 is an equidigital number, since it uses as much as digits as its factorization.

58072052736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100457 (or 2100417 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 58072052736000 in words is "fifty-eight trillion, seventy-two billion, fifty-two million, seven hundred thirty-six thousand".