10983717511074 has 240 divisors, whose sum is σ = 31300476109056. Its totient is φ = 2846714673600.

The previous prime is 10983717511033. The next prime is 10983717511093. The reversal of 10983717511074 is 47011571738901.

10983717511074 is a `hidden beast` number, since 1 + 0 + 98 + 37 + 1 + 7 + 511 + 0 + 7 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10983717511074.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40117167 + ... + 40390029.

Almost surely, 2^{10983717511074} is an apocalyptic number.

10983717511074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10983717511074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15650238054528).

10983717511074 is an abundant number, since it is smaller than the sum of its proper divisors (20316758597982).

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

10983717511074 is a wasteful number, since it uses less digits than its factorization.

10983717511074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273363 (or 273347 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 54.

The spelling of 10983717511074 in words is "ten trillion, nine hundred eighty-three billion, seven hundred seventeen million, five hundred eleven thousand, seventy-four".