11625177816 has 192 divisors, whose sum is σ = 39099340800. Its totient is φ = 3045081600.

The previous prime is 11625177769. The next prime is 11625177853. The reversal of 11625177816 is 61877152611.

11625177816 is a `hidden beast` number, since 1 + 1 + 62 + 517 + 78 + 1 + 6 = 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, 277276 + ... + 316436.

It is an arithmetic number, because the mean of its divisors is an integer number (203642400).

Almost surely, 2^11625177816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11625177816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19549670400).

11625177816 is an abundant number, since it is smaller than the sum of its proper divisors (27474162984).

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

11625177816 is a wasteful number, since it uses less digits than its factorization.

11625177816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39230 (or 39223 counting only the distinct ones).

The product of its digits is 141120, while the sum is 45.

The spelling of 11625177816 in words is "eleven billion, six hundred twenty-five million, one hundred seventy-seven thousand, eight hundred sixteen".