10008119989200 has 120 divisors (see below), whose sum is σ = 32095491346368. Its totient is φ = 2665822883840.

The previous prime is 10008119989171. The next prime is 10008119989201. The reversal of 10008119989200 is 298991180001.

10008119989200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10008119989200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008119989201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3636897 + ... + 5765696.

Almost surely, 2^{10008119989200} is an apocalyptic number.

10008119989200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10008119989200 is an abundant number, since it is smaller than the sum of its proper divisors (22087371357168).

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

10008119989200 is a wasteful number, since it uses less digits than its factorization.

10008119989200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9403501 (or 9403490 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 48.

The spelling of 10008119989200 in words is "ten trillion, eight billion, one hundred nineteen million, nine hundred eighty-nine thousand, two hundred".