10955470680 has 1152 divisors, whose sum is σ = 49396838400. Its totient is φ = 2052864000.

The previous prime is 10955470663. The next prime is 10955470681. The reversal of 10955470680 is 8607455901.

10955470680 is a `hidden beast` number, since 10 + 9 + 554 + 7 + 0 + 6 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10955470681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 179597850 + ... + 179597910.

It is an arithmetic number, because the mean of its divisors is an integer number (42879200).

Almost surely, 2^10955470680 is an apocalyptic number.

10955470680 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 10955470680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24698419200).

10955470680 is an abundant number, since it is smaller than the sum of its proper divisors (38441367720).

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

10955470680 is a wasteful number, since it uses less digits than its factorization.

10955470680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10955470680 in words is "ten billion, nine hundred fifty-five million, four hundred seventy thousand, six hundred eighty".