259970361600 has 432 divisors, whose sum is σ = 897696543744. Its totient is φ = 66130944000.

The previous prime is 259970361559. The next prime is 259970361613. The reversal of 259970361600 is 6163079952.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 259970361600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252153085 + ... + 252154115.

Almost surely, 2^259970361600 is an apocalyptic number.

259970361600 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 259970361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448848271872).

259970361600 is an abundant number, since it is smaller than the sum of its proper divisors (637726182144).

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

259970361600 is a wasteful number, since it uses less digits than its factorization.

259970361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 259970361600 in words is "two hundred fifty-nine billion, nine hundred seventy million, three hundred sixty-one thousand, six hundred".