11386902240 has 864 divisors, whose sum is σ = 48311303040. Its totient is φ = 2523902976.

The previous prime is 11386902211. The next prime is 11386902271. The reversal of 11386902240 is 4220968311.

11386902240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11386902195 and 11386902204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81920091 + ... + 81920229.

It is an arithmetic number, because the mean of its divisors is an integer number (55915860).

Almost surely, 2^11386902240 is an apocalyptic number.

11386902240 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 11386902240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24155651520).

11386902240 is an abundant number, since it is smaller than the sum of its proper divisors (36924400800).

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

11386902240 is a wasteful number, since it uses less digits than its factorization.

11386902240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11386902240 in words is "eleven billion, three hundred eighty-six million, nine hundred two thousand, two hundred forty".