10546339776 has 672 divisors, whose sum is σ = 37226760192. Its totient is φ = 2611445760.

The previous prime is 10546339751. The next prime is 10546339789. The reversal of 10546339776 is 67793364501.

10546339776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10546339776² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172890786 + ... + 172890846.

Almost surely, 2^10546339776 is an apocalyptic number.

10546339776 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 10546339776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18613380096).

10546339776 is an abundant number, since it is smaller than the sum of its proper divisors (26680420416).

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

10546339776 is a wasteful number, since it uses less digits than its factorization.

10546339776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 51.

The spelling of 10546339776 in words is "ten billion, five hundred forty-six million, three hundred thirty-nine thousand, seven hundred seventy-six".