261079789576320 has 3072 divisors, whose sum is σ = 1168630632691200. Its totient is φ = 54788267704320.

The previous prime is 261079789576259. The next prime is 261079789576327. The reversal of 261079789576320 is 23675987970162.

261079789576320 is a `hidden beast` number, since 2 + 6 + 10 + 7 + 9 + 7 + 8 + 9 + 576 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261079789576327) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 942526316022 + ... + 942526316298.

Almost surely, 2^{261079789576320} is an apocalyptic number.

261079789576320 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 261079789576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584315316345600).

261079789576320 is an abundant number, since it is smaller than the sum of its proper divisors (907550843114880).

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

261079789576320 is an equidigital number, since it uses as much as digits as its factorization.

261079789576320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 261079789576320 in words is "two hundred sixty-one trillion, seventy-nine billion, seven hundred eighty-nine million, five hundred seventy-six thousand, three hundred twenty".