1561292070912 has 840 divisors, whose sum is σ = 5604480129600. Its totient is φ = 431414968320.

The previous prime is 1561292070911. The next prime is 1561292070953. The reversal of 1561292070912 is 2190702921651.

1561292070912 is a `hidden beast` number, since 1 + 5 + 612 + 9 + 20 + 7 + 0 + 9 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561292070911) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1007934714 + ... + 1007936262.

Almost surely, 2^{1561292070912} is an apocalyptic number.

1561292070912 is a gapful number since it is divisible by the number (12) 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 1561292070912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802240064800).

1561292070912 is an abundant number, since it is smaller than the sum of its proper divisors (4043188058688).

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

1561292070912 is an equidigital number, since it uses as much as digits as its factorization.

1561292070912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 1561292070912 in words is "one trillion, five hundred sixty-one billion, two hundred ninety-two million, seventy thousand, nine hundred twelve".