10985995524240 has 320 divisors, whose sum is σ = 41621884243200. Its totient is φ = 2663270945280.

The previous prime is 10985995524223. The next prime is 10985995524253. The reversal of 10985995524240 is 4242559958901.

10985995524240 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 59 + 9 + 552 + 4 + 24 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 964326 + ... + 4785594.

It is an arithmetic number, because the mean of its divisors is an integer number (130068388260).

Almost surely, 2^{10985995524240} is an apocalyptic number.

10985995524240 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 10985995524240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20810942121600).

10985995524240 is an abundant number, since it is smaller than the sum of its proper divisors (30635888718960).

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

10985995524240 is a wasteful number, since it uses less digits than its factorization.

10985995524240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821324 (or 3821290 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 10985995524240 in words is "ten trillion, nine hundred eighty-five billion, nine hundred ninety-five million, five hundred twenty-four thousand, two hundred forty".