11719071840 has 192 divisors, whose sum is σ = 42819162624. Its totient is φ = 2638614528.

The previous prime is 11719071761. The next prime is 11719071841. The reversal of 11719071840 is 4817091711.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11719071841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199092 + ... + 251148.

It is an arithmetic number, because the mean of its divisors is an integer number (223016472).

Almost surely, 2^11719071840 is an apocalyptic number.

11719071840 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 11719071840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21409581312).

11719071840 is an abundant number, since it is smaller than the sum of its proper divisors (31100090784).

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

11719071840 is a wasteful number, since it uses less digits than its factorization.

11719071840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52149 (or 52141 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 39.

The spelling of 11719071840 in words is "eleven billion, seven hundred nineteen million, seventy-one thousand, eight hundred forty".