261393114150 has 384 divisors, whose sum is σ = 855909504000. Its totient is φ = 58614192000.

The previous prime is 261393114149. The next prime is 261393114179. The reversal of 261393114150 is 51411393162.

261393114150 is a `hidden beast` number, since 2 + 6 + 1 + 393 + 114 + 150 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24536325 + ... + 24546975.

It is an arithmetic number, because the mean of its divisors is an integer number (2228931000).

Almost surely, 2^261393114150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261393114150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427954752000).

261393114150 is an abundant number, since it is smaller than the sum of its proper divisors (594516389850).

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

261393114150 is a wasteful number, since it uses less digits than its factorization.

261393114150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10746 (or 10721 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 261393114150 in words is "two hundred sixty-one billion, three hundred ninety-three million, one hundred fourteen thousand, one hundred fifty".