58660134400 has 480 divisors, whose sum is σ = 175360204800. Its totient is φ = 19418112000.

The previous prime is 58660134383. The next prime is 58660134409. The reversal of 58660134400 is 443106685.

It is a happy number.

It is a super-2 number, since 2×58660134400² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58660134400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58660134409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136102185 + ... + 136102615.

It is an arithmetic number, because the mean of its divisors is an integer number (365333760).

Almost surely, 2^58660134400 is an apocalyptic number.

58660134400 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 58660134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87680102400).

58660134400 is an abundant number, since it is smaller than the sum of its proper divisors (116700070400).

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

58660134400 is an equidigital number, since it uses as much as digits as its factorization.

58660134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 58660134400 in words is "fifty-eight billion, six hundred sixty million, one hundred thirty-four thousand, four hundred".