10088268120 has 640 divisors, whose sum is σ = 41859417600. Its totient is φ = 2127513600.

The previous prime is 10088268089. The next prime is 10088268131. The reversal of 10088268120 is 2186288001.

It is a super-2 number, since 2×10088268120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17667435 + ... + 17668005.

It is an arithmetic number, because the mean of its divisors is an integer number (65405340).

Almost surely, 2^10088268120 is an apocalyptic number.

10088268120 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 10088268120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20929708800).

10088268120 is an abundant number, since it is smaller than the sum of its proper divisors (31771149480).

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

10088268120 is a wasteful number, since it uses less digits than its factorization.

10088268120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10088268120 in words is "ten billion, eighty-eight million, two hundred sixty-eight thousand, one hundred twenty".