10160919720 has 512 divisors, whose sum is σ = 41312332800. Its totient is φ = 2168487936.

The previous prime is 10160919719. The next prime is 10160919749. The reversal of 10160919720 is 2791906101.

10160919720 is a `hidden beast` number, since 10 + 1 + 609 + 19 + 7 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22233732 + ... + 22234188.

It is an arithmetic number, because the mean of its divisors is an integer number (80688150).

Almost surely, 2^10160919720 is an apocalyptic number.

10160919720 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 10160919720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20656166400).

10160919720 is an abundant number, since it is smaller than the sum of its proper divisors (31151413080).

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

10160919720 is a wasteful number, since it uses less digits than its factorization.

10160919720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 10160919720 in words is "ten billion, one hundred sixty million, nine hundred nineteen thousand, seven hundred twenty".