11551917312 has 432 divisors, whose sum is σ = 38569789440. Its totient is φ = 3295199232.

The previous prime is 11551917301. The next prime is 11551917313. The reversal of 11551917312 is 21371915511.

11551917312 is a `hidden beast` number, since 1 + 1 + 551 + 91 + 7 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11551917313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30161473 + ... + 30161855.

It is an arithmetic number, because the mean of its divisors is an integer number (89281920).

Almost surely, 2^11551917312 is an apocalyptic number.

11551917312 is a gapful number since it is divisible by the number (12) 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 11551917312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284894720).

11551917312 is an abundant number, since it is smaller than the sum of its proper divisors (27017872128).

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

11551917312 is a wasteful number, since it uses less digits than its factorization.

11551917312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its digits is 9450, while the sum is 36.

The spelling of 11551917312 in words is "eleven billion, five hundred fifty-one million, nine hundred seventeen thousand, three hundred twelve".