11531107277000 has 128 divisors (see below), whose sum is σ = 28431134784000. Its totient is φ = 4365344793600.

The previous prime is 11531107276979. The next prime is 11531107277009. The reversal of 11531107277000 is 77270113511.

11531107277000 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 (11531107277009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18870257 + ... + 19471743.

It is an arithmetic number, because the mean of its divisors is an integer number (222118240500).

Almost surely, 2^{11531107277000} is an apocalyptic number.

11531107277000 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 11531107277000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14215567392000).

11531107277000 is an abundant number, since it is smaller than the sum of its proper divisors (16900027507000).

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

11531107277000 is a wasteful number, since it uses less digits than its factorization.

11531107277000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602536 (or 602522 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 35.

The spelling of 11531107277000 in words is "eleven trillion, five hundred thirty-one billion, one hundred seven million, two hundred seventy-seven thousand".