10099954711728 has 240 divisors, whose sum is σ = 32400556231680. Its totient is φ = 2877073468416.

The previous prime is 10099954711603. The next prime is 10099954711733. The reversal of 10099954711728 is 82711745999001.

10099954711728 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 9 + 9 + 547 + 11 + 72 + 8 = 666.

10099954711728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466004700 + ... + 466026372.

It is an arithmetic number, because the mean of its divisors is an integer number (135002317632).

Almost surely, 2^{10099954711728} is an apocalyptic number.

10099954711728 is a gapful number since it is divisible by the number (18) 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 10099954711728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16200278115840).

10099954711728 is an abundant number, since it is smaller than the sum of its proper divisors (22300601519952).

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

10099954711728 is a wasteful number, since it uses less digits than its factorization.

10099954711728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23056 (or 23047 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 63.

The spelling of 10099954711728 in words is "ten trillion, ninety-nine billion, nine hundred fifty-four million, seven hundred eleven thousand, seven hundred twenty-eight".