10720909056 has 576 divisors, whose sum is σ = 35866607616. Its totient is φ = 2797977600.

The previous prime is 10720908983. The next prime is 10720909091. The reversal of 10720909056 is 65090902701.

It is a super-2 number, since 2×10720909056² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 160013535 + ... + 160013601.

It is an arithmetic number, because the mean of its divisors is an integer number (62268416).

Almost surely, 2^10720909056 is an apocalyptic number.

10720909056 is a gapful number since it is divisible by the number (16) 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 10720909056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17933303808).

10720909056 is an abundant number, since it is smaller than the sum of its proper divisors (25145698560).

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

10720909056 is a wasteful number, since it uses less digits than its factorization.

10720909056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 10720909056 in words is "ten billion, seven hundred twenty million, nine hundred nine thousand, fifty-six".