261607823280960 has 448 divisors, whose sum is σ = 897412021938432. Its totient is φ = 64186066796544.

The previous prime is 261607823280941. The next prime is 261607823280961. The reversal of 261607823280960 is 69082328706162.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 261607823280894 and 261607823280903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261607823280961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19527336982 + ... + 19527350378.

It is an arithmetic number, because the mean of its divisors is an integer number (2003151834684).

Almost surely, 2^{261607823280960} is an apocalyptic number.

261607823280960 is a gapful number since it is divisible by the number (20) 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 261607823280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448706010969216).

261607823280960 is an abundant number, since it is smaller than the sum of its proper divisors (635804198657472).

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

261607823280960 is a wasteful number, since it uses less digits than its factorization.

261607823280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18410 (or 18400 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 261607823280960 in words is "two hundred sixty-one trillion, six hundred seven billion, eight hundred twenty-three million, two hundred eighty thousand, nine hundred sixty".