10785180240 has 640 divisors, whose sum is σ = 41140224000. Its totient is φ = 2588129280.

The previous prime is 10785180229. The next prime is 10785180293. The reversal of 10785180240 is 4208158701.

It is a super-2 number, since 2×10785180240² (a number of 21 digits) contains 22 as substring.

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 = 10785180195 and 10785180204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72383686 + ... + 72383834.

It is an arithmetic number, because the mean of its divisors is an integer number (64281600).

Almost surely, 2^10785180240 is an apocalyptic number.

10785180240 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 10785180240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20570112000).

10785180240 is an abundant number, since it is smaller than the sum of its proper divisors (30355043760).

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

10785180240 is a wasteful number, since it uses less digits than its factorization.

10785180240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10785180240 in words is "ten billion, seven hundred eighty-five million, one hundred eighty thousand, two hundred forty".