10706826240 has 440 divisors, whose sum is σ = 41872973472. Its totient is φ = 2594488320.

The previous prime is 10706826239. The next prime is 10706826241. The reversal of 10706826240 is 4262860701.

It is an interprime number because it is at equal distance from previous prime (10706826239) and next prime (10706826241).

It is a tau number, because it is divible by the number of its divisors (440).

It is a super-2 number, since 2×10706826240² (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 junction number, because it is equal to n+sod(n) for n = 10706826195 and 10706826204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10706826241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4560747 + ... + 4563093.

Almost surely, 2^10706826240 is an apocalyptic number.

10706826240 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 10706826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20936486736).

10706826240 is an abundant number, since it is smaller than the sum of its proper divisors (31166147232).

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

10706826240 is a wasteful number, since it uses less digits than its factorization.

10706826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10706826240 in words is "ten billion, seven hundred six million, eight hundred twenty-six thousand, two hundred forty".