1261632016560 has 40 divisors (see below), whose sum is σ = 3911059252080. Its totient is φ = 336435204352.

The previous prime is 1261632016553. The next prime is 1261632016583. The reversal of 1261632016560 is 656102361621.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1261632016560² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2628399795 + ... + 2628400274.

It is an arithmetic number, because the mean of its divisors is an integer number (97776481302).

Almost surely, 2^{1261632016560} is an apocalyptic number.

1261632016560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1261632016560 is an abundant number, since it is smaller than the sum of its proper divisors (2649427235520).

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

1261632016560 is a wasteful number, since it uses less digits than its factorization.

1261632016560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256800085 (or 5256800079 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 1261632016560 in words is "one trillion, two hundred sixty-one billion, six hundred thirty-two million, sixteen thousand, five hundred sixty".