11759317920 has 216 divisors, whose sum is σ = 46680572484. Its totient is φ = 2687827968.

The previous prime is 11759317897. The next prime is 11759317937. The reversal of 11759317920 is 2971395711.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11687339664 + 71978256 = 108108^2 + 8484^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12769 + ... + 153888.

Almost surely, 2^11759317920 is an apocalyptic number.

11759317920 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 11759317920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23340286242).

11759317920 is an abundant number, since it is smaller than the sum of its proper divisors (34921254564).

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

11759317920 is a wasteful number, since it uses less digits than its factorization.

11759317920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166692 (or 166674 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 11759317920 in words is "eleven billion, seven hundred fifty-nine million, three hundred seventeen thousand, nine hundred twenty".