10545478944000 has 3456 divisors, whose sum is σ = 48842852857344. Its totient is φ = 1981808640000.

The previous prime is 10545478943941. The next prime is 10545478944037. The reversal of 10545478944000 is 44987454501.

It is a super-2 number, since 2×10545478944000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41032991872 + ... + 41032992128.

It is an arithmetic number, because the mean of its divisors is an integer number (14132769924).

Almost surely, 2^{10545478944000} is an apocalyptic number.

10545478944000 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 10545478944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24421426428672).

10545478944000 is an abundant number, since it is smaller than the sum of its proper divisors (38297373913344).

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

10545478944000 is a wasteful number, since it uses less digits than its factorization.

10545478944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 10545478944000 in words is "ten trillion, five hundred forty-five billion, four hundred seventy-eight million, nine hundred forty-four thousand".