58980652416 has 768 divisors, whose sum is σ = 222699456000. Its totient is φ = 15251410944.

The previous prime is 58980652399. The next prime is 58980652417. The reversal of 58980652416 is 61425608985.

58980652416 is a `hidden beast` number, since 589 + 8 + 0 + 6 + 52 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58980652417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74002930 + ... + 74003726.

It is an arithmetic number, because the mean of its divisors is an integer number (289973250).

Almost surely, 2^58980652416 is an apocalyptic number.

58980652416 is a gapful number since it is divisible by the number (56) 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 58980652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111349728000).

58980652416 is an abundant number, since it is smaller than the sum of its proper divisors (163718803584).

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

58980652416 is a wasteful number, since it uses less digits than its factorization.

58980652416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 58980652416 in words is "fifty-eight billion, nine hundred eighty million, six hundred fifty-two thousand, four hundred sixteen".