11315077194960 has 960 divisors, whose sum is σ = 50097753538560. Its totient is φ = 2219830272000.

The previous prime is 11315077194899. The next prime is 11315077194973. The reversal of 11315077194960 is 6949177051311.

11315077194960 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 507 + 71 + 9 + 4 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11315077194897 and 11315077194906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70383951 + ... + 70544529.

It is an arithmetic number, because the mean of its divisors is an integer number (52185159936).

Almost surely, 2^{11315077194960} is an apocalyptic number.

11315077194960 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 11315077194960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25048876769280).

11315077194960 is an abundant number, since it is smaller than the sum of its proper divisors (38782676343600).

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

11315077194960 is a wasteful number, since it uses less digits than its factorization.

11315077194960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160688 (or 160679 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 11315077194960 in words is "eleven trillion, three hundred fifteen billion, seventy-seven million, one hundred ninety-four thousand, nine hundred sixty".