10309585543104 has 224 divisors, whose sum is σ = 28894059177984. Its totient is φ = 3239101071360.

The previous prime is 10309585543093. The next prime is 10309585543111. The reversal of 10309585543104 is 40134558590301.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90288352 + ... + 90402464.

It is an arithmetic number, because the mean of its divisors is an integer number (128991335616).

Almost surely, 2^{10309585543104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10309585543104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447029588992).

10309585543104 is an abundant number, since it is smaller than the sum of its proper divisors (18584473634880).

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

10309585543104 is a wasteful number, since it uses less digits than its factorization.

10309585543104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114555 (or 114545 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 10309585543104 in words is "ten trillion, three hundred nine billion, five hundred eighty-five million, five hundred forty-three thousand, one hundred four".