10720009152 has 448 divisors, whose sum is σ = 34991040000. Its totient is φ = 3245018112.

The previous prime is 10720009121. The next prime is 10720009163. The reversal of 10720009152 is 25190002701.

It is a super-2 number, since 2×10720009152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77122299 + ... + 77122437.

It is an arithmetic number, because the mean of its divisors is an integer number (78105000).

Almost surely, 2^10720009152 is an apocalyptic number.

10720009152 is a gapful number since it is divisible by the number (12) 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 10720009152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17495520000).

10720009152 is an abundant number, since it is smaller than the sum of its proper divisors (24271030848).

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

10720009152 is an equidigital number, since it uses as much as digits as its factorization.

10720009152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 10720009152 in words is "ten billion, seven hundred twenty million, nine thousand, one hundred fifty-two".