261297792162 has 64 divisors (see below), whose sum is σ = 648899233920. Its totient is φ = 77249894400.

The previous prime is 261297792127. The next prime is 261297792169.

261297792162 is a `hidden beast` number, since 2 + 612 + 9 + 7 + 7 + 9 + 2 + 16 + 2 = 666.

261297792162 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 261297792099 and 261297792108.

It is not an unprimeable number, because it can be changed into a prime (261297792169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5340223 + ... + 5388930.

It is an arithmetic number, because the mean of its divisors is an integer number (10139050530).

Almost surely, 2^261297792162 is an apocalyptic number.

261297792162 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

261297792162 is an abundant number, since it is smaller than the sum of its proper divisors (387601441758).

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

261297792162 is a wasteful number, since it uses less digits than its factorization.

261297792162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10729216 (or 10729210 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 261297792162 in words is "two hundred sixty-one billion, two hundred ninety-seven million, seven hundred ninety-two thousand, one hundred sixty-two".