11859680448 has 840 divisors, whose sum is σ = 45977572256. Its totient is φ = 2956124160.

The previous prime is 11859680429. The next prime is 11859680461. The reversal of 11859680448 is 84408695811.

It is a happy number.

11859680448 is a `hidden beast` number, since 1 + 1 + 8 + 596 + 8 + 0 + 4 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11859680394 and 11859680403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 162461340 + ... + 162461412.

Almost surely, 2^11859680448 is an apocalyptic number.

11859680448 is a gapful number since it is divisible by the number (18) 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 11859680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22988786128).

11859680448 is an abundant number, since it is smaller than the sum of its proper divisors (34117891808).

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

11859680448 is a wasteful number, since it uses less digits than its factorization.

11859680448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 11859680448 in words is "eleven billion, eight hundred fifty-nine million, six hundred eighty thousand, four hundred forty-eight".