259121997927100 has 432 divisors, whose sum is σ = 787267384162560. Its totient is φ = 72013632768000.

The previous prime is 259121997927061. The next prime is 259121997927139. The reversal of 259121997927100 is 1729799121952.

It is an interprime number because it is at equal distance from previous prime (259121997927061) and next prime (259121997927139).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22622355 + ... + 32093845.

It is an arithmetic number, because the mean of its divisors is an integer number (1822378204080).

Almost surely, 2^{259121997927100} is an apocalyptic number.

259121997927100 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 259121997927100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393633692081280).

259121997927100 is an abundant number, since it is smaller than the sum of its proper divisors (528145386235460).

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

259121997927100 is a wasteful number, since it uses less digits than its factorization.

259121997927100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9471570 (or 9471552 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 64.

The spelling of 259121997927100 in words is "two hundred fifty-nine trillion, one hundred twenty-one billion, nine hundred ninety-seven million, nine hundred twenty-seven thousand, one hundred".