11912085360 has 240 divisors, whose sum is σ = 45923816640. Its totient is φ = 2710609920.

The previous prime is 11912085343. The next prime is 11912085371. The reversal of 11912085360 is 6358021911.

11912085360 is a `hidden beast` number, since 1 + 1 + 91 + 208 + 5 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1149000 + ... + 1159320.

It is an arithmetic number, because the mean of its divisors is an integer number (191349236).

Almost surely, 2^11912085360 is an apocalyptic number.

11912085360 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 11912085360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22961908320).

11912085360 is an abundant number, since it is smaller than the sum of its proper divisors (34011731280).

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

11912085360 is a wasteful number, since it uses less digits than its factorization.

11912085360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10576 (or 10567 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

It can be divided in two parts, 119120 and 85360, that added together give a triangular number (204480 = T₆₃₉).

The spelling of 11912085360 in words is "eleven billion, nine hundred twelve million, eighty-five thousand, three hundred sixty".