10826714060064 has 504 divisors, whose sum is σ = 36874349261568. Its totient is φ = 3063907918080.

The previous prime is 10826714060047. The next prime is 10826714060069. The reversal of 10826714060064 is 46006041762801.

10826714060064 is a `hidden beast` number, since 1 + 0 + 8 + 26 + 7 + 14 + 0 + 600 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×10826714060064³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10826714060069) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1869573009 + ... + 1869578799.

It is an arithmetic number, because the mean of its divisors is an integer number (73163391392).

Almost surely, 2^{10826714060064} is an apocalyptic number.

10826714060064 is a gapful number since it is divisible by the number (14) 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 10826714060064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18437174630784).

10826714060064 is an abundant number, since it is smaller than the sum of its proper divisors (26047635201504).

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

10826714060064 is an frugal number, since it uses more digits than its factorization.

10826714060064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6040 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10826714060064 in words is "ten trillion, eight hundred twenty-six billion, seven hundred fourteen million, sixty thousand, sixty-four".