11919886560 has 384 divisors, whose sum is σ = 43110144000. Its totient is φ = 3074512896.

The previous prime is 11919886519. The next prime is 11919886621. The reversal of 11919886560 is 6568891911.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11919886497 and 11919886506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18087511 + ... + 18088169.

It is an arithmetic number, because the mean of its divisors is an integer number (112266000).

Almost surely, 2^11919886560 is an apocalyptic number.

11919886560 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 11919886560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555072000).

11919886560 is an abundant number, since it is smaller than the sum of its proper divisors (31190257440).

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

11919886560 is a wasteful number, since it uses less digits than its factorization.

11919886560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 11919886560 in words is "eleven billion, nine hundred nineteen million, eight hundred eighty-six thousand, five hundred sixty".