580628212416 has 336 divisors, whose sum is σ = 2036103014400. Its totient is φ = 160541429760.

The previous prime is 580628212399. The next prime is 580628212429. The reversal of 580628212416 is 614212826085.

580628212416 is a `hidden beast` number, since 5 + 8 + 0 + 628 + 2 + 1 + 2 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3288760 + ... + 3460808.

It is an arithmetic number, because the mean of its divisors is an integer number (6059830400).

Almost surely, 2^580628212416 is an apocalyptic number.

580628212416 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 580628212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018051507200).

580628212416 is an abundant number, since it is smaller than the sum of its proper divisors (1455474801984).

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

580628212416 is a wasteful number, since it uses less digits than its factorization.

580628212416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172114 (or 172092 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 580628212416 in words is "five hundred eighty billion, six hundred twenty-eight million, two hundred twelve thousand, four hundred sixteen".