10885119351120 has 1920 divisors, whose sum is σ = 46926996480000. Its totient is φ = 2337353625600.

The previous prime is 10885119351077. The next prime is 10885119351167. The reversal of 10885119351120 is 2115391158801.

10885119351120 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 511 + 9 + 3 + 5 + 1 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19130262196 + ... + 19130262764.

It is an arithmetic number, because the mean of its divisors is an integer number (24441144000).

Almost surely, 2^{10885119351120} is an apocalyptic number.

10885119351120 is a gapful number since it is divisible by the number (10) 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 10885119351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23463498240000).

10885119351120 is an abundant number, since it is smaller than the sum of its proper divisors (36041877128880).

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

10885119351120 is a wasteful number, since it uses less digits than its factorization.

10885119351120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 45.

The spelling of 10885119351120 in words is "ten trillion, eight hundred eighty-five billion, one hundred nineteen million, three hundred fifty-one thousand, one hundred twenty".