261179476103952 has 560 divisors, whose sum is σ = 905054982416640. Its totient is φ = 71357495159808.

The previous prime is 261179476103951. The next prime is 261179476104023. The reversal of 261179476103952 is 259301674971162.

261179476103952 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 7 + 9 + 4 + 7 + 610 + 3 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×261179476103952² (a number of 30 digits) contains 22 as substring.

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 261179476103952.

It is not an unprimeable number, because it can be changed into a prime (261179476103951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7130383174 + ... + 7130419802.

Almost surely, 2^{261179476103952} 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 261179476103952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452527491208320).

261179476103952 is an abundant number, since it is smaller than the sum of its proper divisors (643875506312688).

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

261179476103952 is a wasteful number, since it uses less digits than its factorization.

261179476103952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40482 (or 40461 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 261179476103952 in words is "two hundred sixty-one trillion, one hundred seventy-nine billion, four hundred seventy-six million, one hundred three thousand, nine hundred fifty-two".