259802223145920 has 896 divisors, whose sum is σ = 1128163018752000. Its totient is φ = 54808958582784.

The previous prime is 259802223145903. The next prime is 259802223145931. The reversal of 259802223145920 is 29541322208952.

259802223145920 is a `hidden beast` number, since 2 + 5 + 9 + 8 + 0 + 22 + 23 + 1 + 4 + 592 + 0 = 666.

It is a super-2 number, since 2×259802223145920² (a number of 30 digits) contains 22 as substring.

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, 9841352881 + ... + 9841379279.

It is an arithmetic number, because the mean of its divisors is an integer number (1259110512000).

Almost surely, 2^{259802223145920} is an apocalyptic number.

259802223145920 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 259802223145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564081509376000).

259802223145920 is an abundant number, since it is smaller than the sum of its proper divisors (868360795606080).

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

259802223145920 is a wasteful number, since it uses less digits than its factorization.

259802223145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38962 (or 38946 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 259802223145920 in words is "two hundred fifty-nine trillion, eight hundred two billion, two hundred twenty-three million, one hundred forty-five thousand, nine hundred twenty".