259871661504 has 896 divisors, whose sum is σ = 993404160000. Its totient is φ = 66117316608.

The previous prime is 259871661463. The next prime is 259871661557. The reversal of 259871661504 is 405166178952.

It is a happy number.

259871661504 is a `hidden beast` number, since 2 + 5 + 9 + 8 + 7 + 16 + 615 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 223448827 + ... + 223449989.

It is an arithmetic number, because the mean of its divisors is an integer number (1108710000).

Almost surely, 2^259871661504 is an apocalyptic number.

259871661504 is a gapful number since it is divisible by the number (24) 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 259871661504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496702080000).

259871661504 is an abundant number, since it is smaller than the sum of its proper divisors (733532498496).

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

259871661504 is a wasteful number, since it uses less digits than its factorization.

259871661504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 259871661504 in words is "two hundred fifty-nine billion, eight hundred seventy-one million, six hundred sixty-one thousand, five hundred four".