261902340258048 has 2160 divisors, whose sum is σ = 992129046955200. Its totient is φ = 68246336471040.

The previous prime is 261902340258011. The next prime is 261902340258061. The reversal of 261902340258048 is 840852043209162.

261902340258048 is a `hidden beast` number, since 2 + 6 + 1 + 9 + 0 + 2 + 340 + 258 + 0 + 48 = 666.

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 = 261902340257985 and 261902340258003.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 379019305383 + ... + 379019306073.

It is an arithmetic number, because the mean of its divisors is an integer number (459319003220).

Almost surely, 2^{261902340258048} is an apocalyptic number.

261902340258048 is a gapful number since it is divisible by the number (28) 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 261902340258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496064523477600).

261902340258048 is an abundant number, since it is smaller than the sum of its proper divisors (730226706697152).

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

261902340258048 is a wasteful number, since it uses less digits than its factorization.

261902340258048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 261902340258048 in words is "two hundred sixty-one trillion, nine hundred two billion, three hundred forty million, two hundred fifty-eight thousand, forty-eight".