261196394360832 has 624 divisors, whose sum is σ = 891047672266752. Its totient is φ = 72141054935040.

The previous prime is 261196394360813. The next prime is 261196394360851. The reversal of 261196394360832 is 238063493691162.

261196394360832 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 96 + 39 + 436 + 0 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (261196394360813) and next prime (261196394360851).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 261196394360832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7495502833 + ... + 7495537679.

It is an arithmetic number, because the mean of its divisors is an integer number (1427961013248).

Almost surely, 2^{261196394360832} 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 261196394360832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445523836133376).

261196394360832 is an abundant number, since it is smaller than the sum of its proper divisors (629851277905920).

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

261196394360832 is a wasteful number, since it uses less digits than its factorization.

261196394360832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35852 (or 35827 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 261196394360832 in words is "two hundred sixty-one trillion, one hundred ninety-six billion, three hundred ninety-four million, three hundred sixty thousand, eight hundred thirty-two".