10945105920 has 624 divisors, whose sum is σ = 46000656000. Its totient is φ = 2349858816.

The previous prime is 10945105909. The next prime is 10945105931. The reversal of 10945105920 is 2950154901.

10945105920 is a `hidden beast` number, since 1 + 0 + 94 + 510 + 59 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10945105909) and next prime (10945105931).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 21933831 + ... + 21934329.

It is an arithmetic number, because the mean of its divisors is an integer number (73719000).

Almost surely, 2^10945105920 is an apocalyptic number.

10945105920 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 10945105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23000328000).

10945105920 is an abundant number, since it is smaller than the sum of its proper divisors (35055550080).

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

10945105920 is a wasteful number, since it uses less digits than its factorization.

10945105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 10945105920 in words is "ten billion, nine hundred forty-five million, one hundred five thousand, nine hundred twenty".