58872460416 has 768 divisors, whose sum is σ = 210978432000. Its totient is φ = 14353489920.

The previous prime is 58872460411. The next prime is 58872460417. The reversal of 58872460416 is 61406427885.

It is not an unprimeable number, because it can be changed into a prime (58872460411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395117110 + ... + 395117258.

It is an arithmetic number, because the mean of its divisors is an integer number (274711500).

Almost surely, 2^58872460416 is an apocalyptic number.

58872460416 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 58872460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105489216000).

58872460416 is an abundant number, since it is smaller than the sum of its proper divisors (152105971584).

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

58872460416 is a wasteful number, since it uses less digits than its factorization.

58872460416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 58872460416 in words is "fifty-eight billion, eight hundred seventy-two million, four hundred sixty thousand, four hundred sixteen".