259955422272 has 672 divisors, whose sum is σ = 961140031488. Its totient is φ = 65291415552.

The previous prime is 259955422267. The next prime is 259955422277. The reversal of 259955422272 is 272224559952.

259955422272 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 5 + 542 + 22 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (259955422267) and next prime (259955422277).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×259955422272² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (259955422277) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 461732263 + ... + 461732825.

It is an arithmetic number, because the mean of its divisors is an integer number (1430267904).

Almost surely, 2^259955422272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259955422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480570015744).

259955422272 is an abundant number, since it is smaller than the sum of its proper divisors (701184609216).

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

259955422272 is a wasteful number, since it uses less digits than its factorization.

259955422272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 994 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 259955422272 in words is "two hundred fifty-nine billion, nine hundred fifty-five million, four hundred twenty-two thousand, two hundred seventy-two".