10545405387712 has 84 divisors (see below), whose sum is σ = 22664524658160. Its totient is φ = 4866043133952.

The previous prime is 10545405387709. The next prime is 10545405387733. The reversal of 10545405387712 is 21778350454501.

It is a super-2 number, since 2×10545405387712² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 10545405387712.

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 11 ways as a sum of consecutive naturals, for example, 50330464 + ... + 50539552.

It is an arithmetic number, because the mean of its divisors is an integer number (269815769740).

Almost surely, 2^{10545405387712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10545405387712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11332262329080).

10545405387712 is an abundant number, since it is smaller than the sum of its proper divisors (12119119270448).

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

10545405387712 is a wasteful number, since it uses less digits than its factorization.

10545405387712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213790 (or 213767 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 52.

The spelling of 10545405387712 in words is "ten trillion, five hundred forty-five billion, four hundred five million, three hundred eighty-seven thousand, seven hundred twelve".