191225122560 has 216 divisors, whose sum is σ = 666674792784. Its totient is φ = 50603704320.

The previous prime is 191225122513. The next prime is 191225122619. The reversal of 191225122560 is 65221522191.

191225122560 is a `hidden beast` number, since 1 + 9 + 1 + 22 + 51 + 22 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1445764 + ... + 1572476.

It is an arithmetic number, because the mean of its divisors is an integer number (3086457374).

Almost surely, 2^191225122560 is an apocalyptic number.

191225122560 is a gapful number since it is divisible by the number (10) 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 191225122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333337396392).

191225122560 is an abundant number, since it is smaller than the sum of its proper divisors (475449670224).

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

191225122560 is a wasteful number, since it uses less digits than its factorization.

191225122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126871 (or 126854 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 191225122560 in words is "one hundred ninety-one billion, two hundred twenty-five million, one hundred twenty-two thousand, five hundred sixty".