1580412911616 has 720 divisors, whose sum is σ = 5748768305280. Its totient is φ = 406412328960.

The previous prime is 1580412911599. The next prime is 1580412911617. The reversal of 1580412911616 is 6161192140851.

1580412911616 is a `hidden beast` number, since 1 + 5 + 8 + 0 + 4 + 1 + 29 + 1 + 1 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1580412911617) 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, 1237597570 + ... + 1237598846.

It is an arithmetic number, because the mean of its divisors is an integer number (7984400424).

Almost surely, 2^{1580412911616} is an apocalyptic number.

1580412911616 is a gapful number since it is divisible by the number (16) 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 1580412911616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874384152640).

1580412911616 is an abundant number, since it is smaller than the sum of its proper divisors (4168355393664).

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

1580412911616 is a wasteful number, since it uses less digits than its factorization.

1580412911616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

It can be divided in two parts, 1580412 and 911616, that added together give a triangular number (2492028 = T₂₂₃₂).

The spelling of 1580412911616 in words is "one trillion, five hundred eighty billion, four hundred twelve million, nine hundred eleven thousand, six hundred sixteen".