11038858240 has 88 divisors (see below), whose sum is σ = 27196474752. Its totient is φ = 4296130560.

The previous prime is 11038858223. The next prime is 11038858249. The reversal of 11038858240 is 4285883011.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11038858193 and 11038858202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11038858249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160305 + ... + 218575.

Almost surely, 2^11038858240 is an apocalyptic number.

11038858240 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 11038858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13598237376).

11038858240 is an abundant number, since it is smaller than the sum of its proper divisors (16157616512).

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

11038858240 is an equidigital number, since it uses as much as digits as its factorization.

11038858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58333 (or 58315 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 11038858240 in words is "eleven billion, thirty-eight million, eight hundred fifty-eight thousand, two hundred forty".