11542905088 has 144 divisors (see below), whose sum is σ = 27456250752. Its totient is φ = 4773888000.

The previous prime is 11542905067. The next prime is 11542905103. The reversal of 11542905088 is 88050924511.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2596948 + ... + 2601388.

It is an arithmetic number, because the mean of its divisors is an integer number (190668408).

Almost surely, 2^11542905088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11542905088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13728125376).

11542905088 is an abundant number, since it is smaller than the sum of its proper divisors (15913345664).

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

11542905088 is a wasteful number, since it uses less digits than its factorization.

11542905088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 43.

The spelling of 11542905088 in words is "eleven billion, five hundred forty-two million, nine hundred five thousand, eighty-eight".