11038013952 has 160 divisors (see below), whose sum is σ = 33936494592. Its totient is φ = 3122786304.

The previous prime is 11038013941. The next prime is 11038013971. The reversal of 11038013952 is 25931083011.

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, 1102473 + ... + 1112439.

Almost surely, 2^11038013952 is an apocalyptic number.

11038013952 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 11038013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968247296).

11038013952 is an abundant number, since it is smaller than the sum of its proper divisors (22898480640).

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

11038013952 is an equidigital number, since it uses as much as digits as its factorization.

11038013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10098 (or 10082 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

Adding to 11038013952 its reverse (25931083011), we get a palindrome (36969096963).

The spelling of 11038013952 in words is "eleven billion, thirty-eight million, thirteen thousand, nine hundred fifty-two".