58982400000000 has 675 divisors, whose sum is σ = 212991884600443. Its totient is φ = 15728640000000.

The previous prime is 58982399999977. The next prime is 58982400000011. The reversal of 58982400000000 is 428985.

The square root of 58982400000000 is 7680000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 41935674802176 + 17046725197824 = 6475776^2 + 4128768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11796479999998 + ... + 11796480000002.

Almost surely, 2^{58982400000000} is an apocalyptic number.

58982400000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58982400000000 is the 7680000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58982400000000

58982400000000 is an abundant number, since it is smaller than the sum of its proper divisors (154009484600443).

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

58982400000000 is an frugal number, since it uses more digits than its factorization.

58982400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

58982400000000 divided by its sum of digits (36) gives a square (1638400000000 = 1280000²).

Adding to 58982400000000 its reverse (428985), we get a palindrome (58982400428985).

The spelling of 58982400000000 in words is "fifty-eight trillion, nine hundred eighty-two billion, four hundred million", and thus it is an aban number.