11793425616 has 240 divisors, whose sum is σ = 38791941760. Its totient is φ = 3274629120.

The previous prime is 11793425597. The next prime is 11793425627. The reversal of 11793425616 is 61652439711.

11793425616 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 3 + 4 + 25 + 616 = 666.

It is a congruent number.

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, 10445340 + ... + 10446468.

Almost surely, 2^11793425616 is an apocalyptic number.

11793425616 is a gapful number since it is divisible by the number (16) 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 11793425616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19395970880).

11793425616 is an abundant number, since it is smaller than the sum of its proper divisors (26998516144).

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

11793425616 is a wasteful number, since it uses less digits than its factorization.

11793425616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1425 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 11793425616 in words is "eleven billion, seven hundred ninety-three million, four hundred twenty-five thousand, six hundred sixteen".