10948654080 has 792 divisors, whose sum is σ = 47652637032. Its totient is φ = 2303852544.

The previous prime is 10948654033. The next prime is 10948654111. The reversal of 10948654080 is 8045684901.

10948654080 is a `hidden beast` number, since 10 + 94 + 8 + 6 + 540 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 238887936 + 10709766144 = 15456^2 + 103488^2 .

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 71 ways as a sum of consecutive naturals, for example, 29352774 + ... + 29353146.

It is an arithmetic number, because the mean of its divisors is an integer number (60167471).

Almost surely, 2^10948654080 is an apocalyptic number.

10948654080 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 10948654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23826318516).

10948654080 is an abundant number, since it is smaller than the sum of its proper divisors (36703982952).

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

10948654080 is a wasteful number, since it uses less digits than its factorization.

10948654080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10948654080 in words is "ten billion, nine hundred forty-eight million, six hundred fifty-four thousand, eighty".