10956066840 has 192 divisors, whose sum is σ = 37758389760. Its totient is φ = 2745630720.

The previous prime is 10956066827. The next prime is 10956066851. The reversal of 10956066840 is 4866065901.

10956066840 is a `hidden beast` number, since 1 + 0 + 9 + 560 + 6 + 6 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7447305 + ... + 7448775.

It is an arithmetic number, because the mean of its divisors is an integer number (196658280).

Almost surely, 2^10956066840 is an apocalyptic number.

10956066840 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 10956066840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18879194880).

10956066840 is an abundant number, since it is smaller than the sum of its proper divisors (26802322920).

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

10956066840 is a wasteful number, since it uses less digits than its factorization.

10956066840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

It can be divided in two parts, 109560 and 66840, that added together give a square (176400 = 420²).

The spelling of 10956066840 in words is "ten billion, nine hundred fifty-six million, sixty-six thousand, eight hundred forty".