261002112840 has 256 divisors, whose sum is σ = 994693132800. Its totient is φ = 59633667072.

The previous prime is 261002112823. The next prime is 261002112923. The reversal of 261002112840 is 48211200162.

261002112840 is a `hidden beast` number, since 2 + 610 + 0 + 2 + 1 + 1 + 2 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24587374 + ... + 24597986.

It is an arithmetic number, because the mean of its divisors is an integer number (3885520050).

Almost surely, 2^261002112840 is an apocalyptic number.

261002112840 is a gapful number since it is divisible by the number (20) 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 261002112840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497346566400).

261002112840 is an abundant number, since it is smaller than the sum of its proper divisors (733691019960).

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

261002112840 is a wasteful number, since it uses less digits than its factorization.

261002112840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13893 (or 13883 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 261002112840 in words is "two hundred sixty-one billion, two million, one hundred twelve thousand, eight hundred forty".