11758098960 has 240 divisors, whose sum is σ = 42117304320. Its totient is φ = 2929397760.

The previous prime is 11758098959. The next prime is 11758098973. The reversal of 11758098960 is 6989085711.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 11758098897 and 11758098906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1697905 + ... + 1704815.

It is an arithmetic number, because the mean of its divisors is an integer number (175488768).

Almost surely, 2^11758098960 is an apocalyptic number.

11758098960 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 11758098960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21058652160).

11758098960 is an abundant number, since it is smaller than the sum of its proper divisors (30359205360).

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

11758098960 is a wasteful number, since it uses less digits than its factorization.

11758098960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7086 (or 7077 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 11758098960 in words is "eleven billion, seven hundred fifty-eight million, ninety-eight thousand, nine hundred sixty".