11631251771800 has 96 divisors (see below), whose sum is σ = 27555185886480. Its totient is φ = 4564338854400.

The previous prime is 11631251771717. The next prime is 11631251771807. The reversal of 11631251771800 is 817715213611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11631251771807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151467415 + ... + 151544185.

Almost surely, 2^{11631251771800} is an apocalyptic number.

11631251771800 is a gapful number since it is divisible by the number (10) 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 11631251771800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13777592943240).

11631251771800 is an abundant number, since it is smaller than the sum of its proper divisors (15923934114680).

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

11631251771800 is a wasteful number, since it uses less digits than its factorization.

11631251771800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91133 (or 91124 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 43.

The spelling of 11631251771800 in words is "eleven trillion, six hundred thirty-one billion, two hundred fifty-one million, seven hundred seventy-one thousand, eight hundred".