261933025536 has 720 divisors, whose sum is σ = 969731682304. Its totient is φ = 68474585088.

The previous prime is 261933025517. The next prime is 261933025579. The reversal of 261933025536 is 635520339162.

It is a happy number.

261933025536 is a `hidden beast` number, since 2 + 6 + 1 + 93 + 3 + 0 + 2 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 261933025491 and 261933025500.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 239645406 + ... + 239646498.

Almost surely, 2^261933025536 is an apocalyptic number.

261933025536 is a gapful number since it is divisible by the number (26) 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 261933025536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484865841152).

261933025536 is an abundant number, since it is smaller than the sum of its proper divisors (707798656768).

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

261933025536 is a wasteful number, since it uses less digits than its factorization.

261933025536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 261933025536 in words is "two hundred sixty-one billion, nine hundred thirty-three million, twenty-five thousand, five hundred thirty-six".