260346745890 has 512 divisors, whose sum is σ = 926650368000. Its totient is φ = 50377593600.

The previous prime is 260346745847. The next prime is 260346745927. The reversal of 260346745890 is 98547643062.

260346745890 is a `hidden beast` number, since 2 + 60 + 3 + 46 + 7 + 458 + 90 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23300005 + ... + 23311175.

It is an arithmetic number, because the mean of its divisors is an integer number (1809864000).

Almost surely, 2^260346745890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260346745890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463325184000).

260346745890 is an abundant number, since it is smaller than the sum of its proper divisors (666303622110).

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

260346745890 is a wasteful number, since it uses less digits than its factorization.

260346745890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11283 (or 11277 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 260346745890 in words is "two hundred sixty billion, three hundred forty-six million, seven hundred forty-five thousand, eight hundred ninety".