260250079140 has 288 divisors, whose sum is σ = 860804904960. Its totient is φ = 65906265600.

The previous prime is 260250079139. The next prime is 260250079207. The reversal of 260250079140 is 41970052062.

260250079140 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 500 + 7 + 9 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 260250079095 and 260250079104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8582205 + ... + 8612475.

It is an arithmetic number, because the mean of its divisors is an integer number (2988905920).

Almost surely, 2^260250079140 is an apocalyptic number.

260250079140 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 260250079140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430402452480).

260250079140 is an abundant number, since it is smaller than the sum of its proper divisors (600554825820).

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

260250079140 is a wasteful number, since it uses less digits than its factorization.

260250079140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30385 (or 30371 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 260250079140 in words is "two hundred sixty billion, two hundred fifty million, seventy-nine thousand, one hundred forty".