10845204924960 has 1152 divisors, whose sum is σ = 47570467553280. Its totient is φ = 2257768857600.

The previous prime is 10845204924959. The next prime is 10845204924973. The reversal of 10845204924960 is 6942940254801.

10845204924960 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 52 + 0 + 492 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10845204924897 and 10845204924906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 270900145 + ... + 270940175.

It is an arithmetic number, because the mean of its divisors is an integer number (41293808640).

Almost surely, 2^{10845204924960} is an apocalyptic number.

10845204924960 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 10845204924960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23785233776640).

10845204924960 is an abundant number, since it is smaller than the sum of its proper divisors (36725262628320).

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

10845204924960 is a wasteful number, since it uses less digits than its factorization.

10845204924960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40127 (or 40096 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 10845204924960 in words is "ten trillion, eight hundred forty-five billion, two hundred four million, nine hundred twenty-four thousand, nine hundred sixty".