261080139420672 has 1408 divisors, whose sum is σ = 860421673402368. Its totient is φ = 69300309196800.

The previous prime is 261080139420649. The next prime is 261080139420733. The reversal of 261080139420672 is 276024931080162.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 252739727868 + ... + 252739728900.

It is an arithmetic number, because the mean of its divisors is an integer number (611094938496).

Almost surely, 2^{261080139420672} is an apocalyptic number.

261080139420672 is a gapful number since it is divisible by the number (22) 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 261080139420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430210836701184).

261080139420672 is an abundant number, since it is smaller than the sum of its proper divisors (599341533981696).

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

261080139420672 is a wasteful number, since it uses less digits than its factorization.

261080139420672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 261080139420672 in words is "two hundred sixty-one trillion, eighty billion, one hundred thirty-nine million, four hundred twenty thousand, six hundred seventy-two".