11754997760 has 192 divisors, whose sum is σ = 31182278400. Its totient is φ = 4217241600.

The previous prime is 11754997753. The next prime is 11754997819. The reversal of 11754997760 is 6779945711.

It is a junction number, because it is equal to n+sod(n) for n = 11754997696 and 11754997705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8897900 + ... + 8899220.

It is an arithmetic number, because the mean of its divisors is an integer number (162407700).

Almost surely, 2^11754997760 is an apocalyptic number.

11754997760 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 11754997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15591139200).

11754997760 is an abundant number, since it is smaller than the sum of its proper divisors (19427280640).

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

11754997760 is a wasteful number, since it uses less digits than its factorization.

11754997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 56.

The spelling of 11754997760 in words is "eleven billion, seven hundred fifty-four million, nine hundred ninety-seven thousand, seven hundred sixty".