1556964840960 has 1280 divisors, whose sum is σ = 5948953528320. Its totient is φ = 389945622528.

The previous prime is 1556964840929. The next prime is 1556964840971. The reversal of 1556964840960 is 690484696551.

1556964840960 is a `hidden beast` number, since 1 + 5 + 5 + 6 + 96 + 484 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13778449864 + ... + 13778449976.

It is an arithmetic number, because the mean of its divisors is an integer number (4647619944).

Almost surely, 2^{1556964840960} is an apocalyptic number.

1556964840960 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 1556964840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974476764160).

1556964840960 is an abundant number, since it is smaller than the sum of its proper divisors (4391988687360).

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

1556964840960 is an equidigital number, since it uses as much as digits as its factorization.

1556964840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 1556964840960 in words is "one trillion, five hundred fifty-six billion, nine hundred sixty-four million, eight hundred forty thousand, nine hundred sixty".