261150188719680 has 3584 divisors, whose sum is σ = 1141610638694400. Its totient is φ = 55477958344704.

The previous prime is 261150188719631. The next prime is 261150188719789. The reversal of 261150188719680 is 86917881051162.

261150188719680 is a `hidden beast` number, since 2 + 61 + 1 + 501 + 8 + 8 + 7 + 1 + 9 + 68 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 344980433862 + ... + 344980434618.

It is an arithmetic number, because the mean of its divisors is an integer number (318529754100).

Almost surely, 2^{261150188719680} is an apocalyptic number.

261150188719680 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 261150188719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570805319347200).

261150188719680 is an abundant number, since it is smaller than the sum of its proper divisors (880460449974720).

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

261150188719680 is a wasteful number, since it uses less digits than its factorization.

261150188719680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 63.

The spelling of 261150188719680 in words is "two hundred sixty-one trillion, one hundred fifty billion, one hundred eighty-eight million, seven hundred nineteen thousand, six hundred eighty".