11138253520 has 160 divisors (see below), whose sum is σ = 27200759040. Its totient is φ = 4237824000.

The previous prime is 11138253419. The next prime is 11138253527. The reversal of 11138253520 is 2535283111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11138253527) 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, 35814165 + ... + 35814475.

It is an arithmetic number, because the mean of its divisors is an integer number (170004744).

Almost surely, 2^11138253520 is an apocalyptic number.

11138253520 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 11138253520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13600379520).

11138253520 is an abundant number, since it is smaller than the sum of its proper divisors (16062505520).

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

11138253520 is a wasteful number, since it uses less digits than its factorization.

11138253520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 11138253520 in words is "eleven billion, one hundred thirty-eight million, two hundred fifty-three thousand, five hundred twenty".