260557038000 has 480 divisors, whose sum is σ = 1064253645312. Its totient is φ = 58169664000.

The previous prime is 260557037981. The next prime is 260557038017. The reversal of 260557038000 is 830755062.

260557038000 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 570 + 3 + 80 + 0 + 0 = 666.

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

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, 5393955 + ... + 5442045.

Almost surely, 2^260557038000 is an apocalyptic number.

260557038000 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 260557038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532126822656).

260557038000 is an abundant number, since it is smaller than the sum of its proper divisors (803696607312).

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

260557038000 is a wasteful number, since it uses less digits than its factorization.

260557038000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48170 (or 48151 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 260557038000 in words is "two hundred sixty billion, five hundred fifty-seven million, thirty-eight thousand".