10720745280 has 840 divisors, whose sum is σ = 46416699648. Its totient is φ = 2337527808.

The previous prime is 10720745239. The next prime is 10720745281. The reversal of 10720745280 is 8254702701.

10720745280 is a `hidden beast` number, since 107 + 20 + 7 + 4 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×10720745280² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10720745281) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29211657 + ... + 29212023.

Almost surely, 2^10720745280 is an apocalyptic number.

10720745280 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 10720745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23208349824).

10720745280 is an abundant number, since it is smaller than the sum of its proper divisors (35695954368).

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

10720745280 is a wasteful number, since it uses less digits than its factorization.

10720745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 10720745280 in words is "ten billion, seven hundred twenty million, seven hundred forty-five thousand, two hundred eighty".