10700722080 has 360 divisors, whose sum is σ = 40130795628. Its totient is φ = 2684731392.

The previous prime is 10700722069. The next prime is 10700722091. The reversal of 10700722080 is 8022700701.

It is an interprime number because it is at equal distance from previous prime (10700722069) and next prime (10700722091).

It can be written as a sum of positive squares in 6 ways, for example, as 8486831376 + 2213890704 = 92124^2 + 47052^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10700722080² (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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3744012 + ... + 3746868.

Almost surely, 2^10700722080 is an apocalyptic number.

10700722080 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 10700722080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20065397814).

10700722080 is an abundant number, since it is smaller than the sum of its proper divisors (29430073548).

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

10700722080 is a wasteful number, since it uses less digits than its factorization.

10700722080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 10700722080 in words is "ten billion, seven hundred million, seven hundred twenty-two thousand, eighty".