261070133688 has 768 divisors, whose sum is σ = 944885760000. Its totient is φ = 64524128256.

The previous prime is 261070133657. The next prime is 261070133719. The reversal of 261070133688 is 886331070162.

It is an interprime number because it is at equal distance from previous prime (261070133657) and next prime (261070133719).

It is a super-2 number, since 2×261070133688² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 774688656 + ... + 774688992.

It is an arithmetic number, because the mean of its divisors is an integer number (1230320000).

Almost surely, 2^261070133688 is an apocalyptic number.

261070133688 is a gapful number since it is divisible by the number (28) 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 261070133688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472442880000).

261070133688 is an abundant number, since it is smaller than the sum of its proper divisors (683815626312).

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

261070133688 is a wasteful number, since it uses less digits than its factorization.

261070133688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 261070133688 in words is "two hundred sixty-one billion, seventy million, one hundred thirty-three thousand, six hundred eighty-eight".