261005230080000 has 2160 divisors, whose sum is σ = 1089484561541376. Its totient is φ = 58958807040000.

The previous prime is 261005230079987. The next prime is 261005230080013. The reversal of 261005230080000 is 80032500162.

261005230080000 is a `hidden beast` number, since 2 + 61 + 0 + 0 + 523 + 0 + 0 + 80 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (261005230079987) and next prime (261005230080013).

It is a super-2 number, since 2×261005230080000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 531578879755 + ... + 531578880245.

Almost surely, 2^{261005230080000} is an apocalyptic number.

261005230080000 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 261005230080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544742280770688).

261005230080000 is an abundant number, since it is smaller than the sum of its proper divisors (828479331461376).

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

261005230080000 is an frugal number, since it uses more digits than its factorization.

261005230080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 261005230080000 its reverse (80032500162), we get a palindrome (261085262580162).

The spelling of 261005230080000 in words is "two hundred sixty-one trillion, five billion, two hundred thirty million, eighty thousand".