261126250160 has 80 divisors (see below), whose sum is σ = 618079797504. Its totient is φ = 102576992256.

The previous prime is 261126250159. The next prime is 261126250163. The reversal of 261126250160 is 61052621162.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×261126250160³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (261126250163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1264769 + ... + 1456671.

Almost surely, 2^261126250160 is an apocalyptic number.

261126250160 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 261126250160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309039898752).

261126250160 is an abundant number, since it is smaller than the sum of its proper divisors (356953547344).

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

261126250160 is a wasteful number, since it uses less digits than its factorization.

261126250160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192222 (or 192216 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 261126250160 in words is "two hundred sixty-one billion, one hundred twenty-six million, two hundred fifty thousand, one hundred sixty".