11152067040 has 336 divisors, whose sum is σ = 41229463968. Its totient is φ = 2843900928.

The previous prime is 11152067033. The next prime is 11152067051. The reversal of 11152067040 is 4076025111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11152066995 and 11152067013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2680642 + ... + 2684798.

It is an arithmetic number, because the mean of its divisors is an integer number (122706738).

Almost surely, 2^11152067040 is an apocalyptic number.

11152067040 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 11152067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20614731984).

11152067040 is an abundant number, since it is smaller than the sum of its proper divisors (30077396928).

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

11152067040 is an equidigital number, since it uses as much as digits as its factorization.

11152067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 11152067040 in words is "eleven billion, one hundred fifty-two million, sixty-seven thousand, forty".