10081850089536 has 560 divisors, whose sum is σ = 30759472339200. Its totient is φ = 3264053760000.

The previous prime is 10081850089483. The next prime is 10081850089567. The reversal of 10081850089536 is 63598005818001.

10081850089536 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 1 + 8 + 500 + 89 + 53 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9502214446 + ... + 9502215506.

Almost surely, 2^{10081850089536} is an apocalyptic number.

10081850089536 is a gapful number since it is divisible by the number (16) 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 10081850089536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15379736169600).

10081850089536 is an abundant number, since it is smaller than the sum of its proper divisors (20677622249664).

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

10081850089536 is a wasteful number, since it uses less digits than its factorization.

10081850089536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 10081850089536 in words is "ten trillion, eighty-one billion, eight hundred fifty million, eighty-nine thousand, five hundred thirty-six".