10683540247050 has 1728 divisors, whose sum is σ = 35934553374720. Its totient is φ = 2263282560000.

The previous prime is 10683540247049. The next prime is 10683540247151. The reversal of 10683540247050 is 5074204538601.

10683540247050 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 354 + 0 + 247 + 0 + 50 = 666.

10683540247050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10683540247050² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10683540246987 and 10683540247005.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 84122364087 + ... + 84122364213.

Almost surely, 2^{10683540247050} is an apocalyptic number.

10683540247050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10683540247050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967276687360).

10683540247050 is an abundant number, since it is smaller than the sum of its proper divisors (25251013127670).

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

10683540247050 is a wasteful number, since it uses less digits than its factorization.

10683540247050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 10683540247050 in words is "ten trillion, six hundred eighty-three billion, five hundred forty million, two hundred forty-seven thousand, fifty".