11761919064 has 512 divisors, whose sum is σ = 42301440000. Its totient is φ = 2949488640.

The previous prime is 11761919041. The next prime is 11761919089. The reversal of 11761919064 is 46091916711.

11761919064 is a `hidden beast` number, since 1 + 17 + 619 + 19 + 0 + 6 + 4 = 666.

It is a congruent number.

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, 23107642 + ... + 23108150.

It is an arithmetic number, because the mean of its divisors is an integer number (82620000).

Almost surely, 2^11761919064 is an apocalyptic number.

11761919064 is a gapful number since it is divisible by the number (14) 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 11761919064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150720000).

11761919064 is an abundant number, since it is smaller than the sum of its proper divisors (30539520936).

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

11761919064 is a wasteful number, since it uses less digits than its factorization.

11761919064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 11761919064 in words is "eleven billion, seven hundred sixty-one million, nine hundred nineteen thousand, sixty-four".