261199849460352 has 256 divisors, whose sum is σ = 766302777815040. Its totient is φ = 78172761600000.

The previous prime is 261199849460351. The next prime is 261199849460359. The reversal of 261199849460352 is 253064948991162.

It is a super-2 number, since 2×261199849460352² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (261199849460351) 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, 109159977 + ... + 111527127.

It is an arithmetic number, because the mean of its divisors is an integer number (2993370225840).

Almost surely, 2^{261199849460352} is an apocalyptic number.

261199849460352 is a gapful number since it is divisible by the number (22) 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 261199849460352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383151388907520).

261199849460352 is an abundant number, since it is smaller than the sum of its proper divisors (505102928354688).

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

261199849460352 is a wasteful number, since it uses less digits than its factorization.

261199849460352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367503 (or 2367491 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 69.

The spelling of 261199849460352 in words is "two hundred sixty-one trillion, one hundred ninety-nine billion, eight hundred forty-nine million, four hundred sixty thousand, three hundred fifty-two".