10983708426240 has 1728 divisors, whose sum is σ = 44220814589952. Its totient is φ = 2497078886400.

The previous prime is 10983708426193. The next prime is 10983708426247. The reversal of 10983708426240 is 4262480738901.

10983708426240 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 3 + 7 + 0 + 8 + 4 + 2 + 624 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (10983708426247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86485893057 + ... + 86485893183.

It is an arithmetic number, because the mean of its divisors is an integer number (25590749184).

Almost surely, 2^{10983708426240} is an apocalyptic number.

10983708426240 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 10983708426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22110407294976).

10983708426240 is an abundant number, since it is smaller than the sum of its proper divisors (33237106163712).

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

10983708426240 is a wasteful number, since it uses less digits than its factorization.

10983708426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 10983708426240 in words is "ten trillion, nine hundred eighty-three billion, seven hundred eight million, four hundred twenty-six thousand, two hundred forty".