11431981502700 has 288 divisors, whose sum is σ = 36841501492992. Its totient is φ = 2713761792000.

The previous prime is 11431981502693. The next prime is 11431981502701. The reversal of 11431981502700 is 720518913411.

11431981502700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11431981502701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30766020 + ... + 31135380.

It is an arithmetic number, because the mean of its divisors is an integer number (127921880184).

Almost surely, 2^{11431981502700} is an apocalyptic number.

11431981502700 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 11431981502700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18420750746496).

11431981502700 is an abundant number, since it is smaller than the sum of its proper divisors (25409519990292).

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

11431981502700 is a wasteful number, since it uses less digits than its factorization.

11431981502700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369585 (or 369578 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 11431981502700 in words is "eleven trillion, four hundred thirty-one billion, nine hundred eighty-one million, five hundred two thousand, seven hundred".