1261285024896 has 96 divisors (see below), whose sum is σ = 3908669785020. Its totient is φ = 388087695360.

The previous prime is 1261285024799. The next prime is 1261285024931. The reversal of 1261285024896 is 6984205821621.

1261285024896 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 2 + 8 + 502 + 48 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1084380664896 + 176904360000 = 1041336^2 + 420600^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42095235 + ... + 42125186.

Almost surely, 2^{1261285024896} is an apocalyptic number.

1261285024896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1261285024896 is an abundant number, since it is smaller than the sum of its proper divisors (2647384760124).

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

1261285024896 is a wasteful number, since it uses less digits than its factorization.

1261285024896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84220454 (or 84220439 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1261285024896 in words is "one trillion, two hundred sixty-one billion, two hundred eighty-five million, twenty-four thousand, eight hundred ninety-six".