10545078755456 has 512 divisors, whose sum is σ = 26365641523200. Its totient is φ = 4100795596800.

The previous prime is 10545078755441. The next prime is 10545078755473. The reversal of 10545078755456 is 65455787054501.

It is a happy number.

It is a super-2 number, since 2×10545078755456² (a number of 27 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 11065139876 + ... + 11065140828.

It is an arithmetic number, because the mean of its divisors is an integer number (51495393600).

Almost surely, 2^{10545078755456} is an apocalyptic number.

10545078755456 is a gapful number since it is divisible by the number (16) 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 10545078755456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13182820761600).

10545078755456 is an abundant number, since it is smaller than the sum of its proper divisors (15820562767744).

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

10545078755456 is a wasteful number, since it uses less digits than its factorization.

10545078755456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 117600000, while the sum is 62.

The spelling of 10545078755456 in words is "ten trillion, five hundred forty-five billion, seventy-eight million, seven hundred fifty-five thousand, four hundred fifty-six".