261524090880 has 1040 divisors, whose sum is σ = 1030343137824. Its totient is φ = 63063982080.

The previous prime is 261524090869. The next prime is 261524090887. The reversal of 261524090880 is 88090425162.

261524090880 is a `hidden beast` number, since 2 + 615 + 24 + 0 + 9 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a super-2 number, since 2×261524090880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261524090887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1444884390 + ... + 1444884570.

Almost surely, 2^261524090880 is an apocalyptic number.

261524090880 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 261524090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515171568912).

261524090880 is an abundant number, since it is smaller than the sum of its proper divisors (768819046944).

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

261524090880 is a wasteful number, since it uses less digits than its factorization.

261524090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 261524090880 in words is "two hundred sixty-one billion, five hundred twenty-four million, ninety thousand, eight hundred eighty".