10153118720 has 176 divisors, whose sum is σ = 25213275648. Its totient is φ = 3920609280.

The previous prime is 10153118693. The next prime is 10153118737. The reversal of 10153118720 is 2781135101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23556905 + ... + 23557335.

It is an arithmetic number, because the mean of its divisors is an integer number (143257248).

Almost surely, 2^10153118720 is an apocalyptic number.

10153118720 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 10153118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12606637824).

10153118720 is an abundant number, since it is smaller than the sum of its proper divisors (15060156928).

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

10153118720 is a wasteful number, since it uses less digits than its factorization.

10153118720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 29.

The spelling of 10153118720 in words is "ten billion, one hundred fifty-three million, one hundred eighteen thousand, seven hundred twenty".