10715217920 has 360 divisors, whose sum is σ = 30122572032. Its totient is φ = 3647733760.

The previous prime is 10715217901. The next prime is 10715217949. The reversal of 10715217920 is 2971251701.

It is a super-2 number, since 2×10715217920² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227983337 + ... + 227983383.

Almost surely, 2^10715217920 is an apocalyptic number.

10715217920 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 10715217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15061286016).

10715217920 is an abundant number, since it is smaller than the sum of its proper divisors (19407354112).

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

10715217920 is an equidigital number, since it uses as much as digits as its factorization.

10715217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 35.

The spelling of 10715217920 in words is "ten billion, seven hundred fifteen million, two hundred seventeen thousand, nine hundred twenty".