260199340200 has 384 divisors, whose sum is σ = 924680995200. Its totient is φ = 67202058240.

The previous prime is 260199340157. The next prime is 260199340249. The reversal of 260199340200 is 2043991062.

260199340200 is a `hidden beast` number, since 2 + 60 + 199 + 3 + 402 + 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, 45351732 + ... + 45357468.

It is an arithmetic number, because the mean of its divisors is an integer number (2408023425).

Almost surely, 2^260199340200 is an apocalyptic number.

260199340200 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 260199340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462340497600).

260199340200 is an abundant number, since it is smaller than the sum of its proper divisors (664481655000).

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

260199340200 is a wasteful number, since it uses less digits than its factorization.

260199340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 260199340200 in words is "two hundred sixty billion, one hundred ninety-nine million, three hundred forty thousand, two hundred".