10028654402816 has 216 divisors, whose sum is σ = 24307744446720. Its totient is φ = 4112601292800.

The previous prime is 10028654402797. The next prime is 10028654402887. The reversal of 10028654402816 is 61820445682001.

It is a super-2 number, since 2×10028654402816² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 34464011 + ... + 34753781.

It is an arithmetic number, because the mean of its divisors is an integer number (112535853920).

Almost surely, 2^{10028654402816} is an apocalyptic number.

10028654402816 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 10028654402816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12153872223360).

10028654402816 is an abundant number, since it is smaller than the sum of its proper divisors (14279090043904).

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

10028654402816 is an equidigital number, since it uses as much as digits as its factorization.

10028654402816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289921 (or 289900 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The spelling of 10028654402816 in words is "ten trillion, twenty-eight billion, six hundred fifty-four million, four hundred two thousand, eight hundred sixteen".