10846946880 has 672 divisors, whose sum is σ = 47689544448. Its totient is φ = 2197094400.

The previous prime is 10846946867. The next prime is 10846946923. The reversal of 10846946880 is 8864964801.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9091564 + ... + 9092756.

It is an arithmetic number, because the mean of its divisors is an integer number (70966584).

Almost surely, 2^10846946880 is an apocalyptic number.

10846946880 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 10846946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23844772224).

10846946880 is an abundant number, since it is smaller than the sum of its proper divisors (36842597568).

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

10846946880 is a wasteful number, since it uses less digits than its factorization.

10846946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 10846946880 in words is "ten billion, eight hundred forty-six million, nine hundred forty-six thousand, eight hundred eighty".