1261056924160 has 320 divisors, whose sum is σ = 3469190529024. Its totient is φ = 435146342400.

The previous prime is 1261056924151. The next prime is 1261056924181. The reversal of 1261056924160 is 614296501621.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82247695 + ... + 82263025.

Almost surely, 2^{1261056924160} is an apocalyptic number.

1261056924160 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 1261056924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734595264512).

1261056924160 is an abundant number, since it is smaller than the sum of its proper divisors (2208133604864).

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

1261056924160 is a wasteful number, since it uses less digits than its factorization.

1261056924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15515 (or 15499 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 1261056924160 in words is "one trillion, two hundred sixty-one billion, fifty-six million, nine hundred twenty-four thousand, one hundred sixty".