261870662760 has 512 divisors, whose sum is σ = 945495936000. Its totient is φ = 57956290560.

The previous prime is 261870662743. The next prime is 261870662771. The reversal of 261870662760 is 67266078162.

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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 568048930 + ... + 568049390.

It is an arithmetic number, because the mean of its divisors is an integer number (1846671750).

Almost surely, 2^261870662760 is an apocalyptic number.

261870662760 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 261870662760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472747968000).

261870662760 is an abundant number, since it is smaller than the sum of its proper divisors (683625273240).

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

261870662760 is a wasteful number, since it uses less digits than its factorization.

261870662760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 261870662760 in words is "two hundred sixty-one billion, eight hundred seventy million, six hundred sixty-two thousand, seven hundred sixty".