10545576481440 has 6912 divisors, whose sum is σ = 56846525137920. Its totient is φ = 1820972482560.

The previous prime is 10545576481409. The next prime is 10545576481441. The reversal of 10545576481440 is 4418467554501.

10545576481440 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 55 + 76 + 4 + 81 + 440 = 666.

It is a super-2 number, since 2×10545576481440² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10545576481441) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 458503325269 + ... + 458503325291.

It is an arithmetic number, because the mean of its divisors is an integer number (8224323660).

Almost surely, 2^{10545576481440} is an apocalyptic number.

10545576481440 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 10545576481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28423262568960).

10545576481440 is an abundant number, since it is smaller than the sum of its proper divisors (46300948656480).

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

10545576481440 is a wasteful number, since it uses less digits than its factorization.

10545576481440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 10545576481440 in words is "ten trillion, five hundred forty-five billion, five hundred seventy-six million, four hundred eighty-one thousand, four hundred forty".