11799607248 has 480 divisors, whose sum is σ = 42234296832. Its totient is φ = 3019161600.

The previous prime is 11799607219. The next prime is 11799607271. The reversal of 11799607248 is 84270699711.

11799607248 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 9 + 607 + 24 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11799607194 and 11799607203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12951913 + ... + 12952823.

Almost surely, 2^11799607248 is an apocalyptic number.

11799607248 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 11799607248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21117148416).

11799607248 is an abundant number, since it is smaller than the sum of its proper divisors (30434689584).

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

11799607248 is a wasteful number, since it uses less digits than its factorization.

11799607248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 11799607248 in words is "eleven billion, seven hundred ninety-nine million, six hundred seven thousand, two hundred forty-eight".