11914576670880 has 768 divisors, whose sum is σ = 45410501283840. Its totient is φ = 2900156092416.

The previous prime is 11914576670851. The next prime is 11914576670903. The reversal of 11914576670880 is 8807667541911.

11914576670880 is a `hidden beast` number, since 11 + 91 + 457 + 6 + 6 + 7 + 0 + 8 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4104227509 + ... + 4104230411.

It is an arithmetic number, because the mean of its divisors is an integer number (59128256880).

Almost surely, 2^{11914576670880} is an apocalyptic number.

11914576670880 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 11914576670880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22705250641920).

11914576670880 is an abundant number, since it is smaller than the sum of its proper divisors (33495924612960).

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

11914576670880 is a wasteful number, since it uses less digits than its factorization.

11914576670880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 11914576670880 in words is "eleven trillion, nine hundred fourteen billion, five hundred seventy-six million, six hundred seventy thousand, eight hundred eighty".