261526077696 has 216 divisors, whose sum is σ = 755812463616. Its totient is φ = 80244203520.

The previous prime is 261526077671. The next prime is 261526077721. The reversal of 261526077696 is 696770625162.

It is an interprime number because it is at equal distance from previous prime (261526077671) and next prime (261526077721).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49707706 + ... + 49712966.

It is an arithmetic number, because the mean of its divisors is an integer number (3499131776).

Almost surely, 2^261526077696 is an apocalyptic number.

261526077696 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 261526077696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377906231808).

261526077696 is an abundant number, since it is smaller than the sum of its proper divisors (494286385920).

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

261526077696 is a wasteful number, since it uses less digits than its factorization.

261526077696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5689 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 261526077696 in words is "two hundred sixty-one billion, five hundred twenty-six million, seventy-seven thousand, six hundred ninety-six".