11452879872 has 528 divisors, whose sum is σ = 41750939520. Its totient is φ = 3027566592.

The previous prime is 11452879871. The next prime is 11452879901. The reversal of 11452879872 is 27897825411.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11452879871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194116579 + ... + 194116637.

Almost surely, 2^11452879872 is an apocalyptic number.

11452879872 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 11452879872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20875469760).

11452879872 is an abundant number, since it is smaller than the sum of its proper divisors (30298059648).

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

11452879872 is an equidigital number, since it uses as much as digits as its factorization.

11452879872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 88 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The spelling of 11452879872 in words is "eleven billion, four hundred fifty-two million, eight hundred seventy-nine thousand, eight hundred seventy-two".