1612711440560 has 320 divisors, whose sum is σ = 4354281308160. Its totient is φ = 549748362240.

The previous prime is 1612711440551. The next prime is 1612711440577. The reversal of 1612711440560 is 650441172161.

It is a super-2 number, since 2×1612711440560² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213346061 + ... + 213353619.

It is an arithmetic number, because the mean of its divisors is an integer number (13607129088).

Almost surely, 2^{1612711440560} is an apocalyptic number.

1612711440560 is a gapful number since it is divisible by the number (10) 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 1612711440560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177140654080).

1612711440560 is an abundant number, since it is smaller than the sum of its proper divisors (2741569867600).

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

1612711440560 is a wasteful number, since it uses less digits than its factorization.

1612711440560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7816 (or 7810 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 1612711440560 in words is "one trillion, six hundred twelve billion, seven hundred eleven million, four hundred forty thousand, five hundred sixty".