10279824816960 has 896 divisors, whose sum is σ = 38589798481920. Its totient is φ = 2571828019200.

The previous prime is 10279824816953. The next prime is 10279824817013. The reversal of 10279824816960 is 6961842897201.

10279824816960 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 98 + 2 + 481 + 6 + 9 + 60 = 666.

10279824816960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1789971849 + ... + 1789977591.

It is an arithmetic number, because the mean of its divisors is an integer number (43068971520).

Almost surely, 2^{10279824816960} is an apocalyptic number.

10279824816960 is a gapful number since it is divisible by the number (10) 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 10279824816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19294899240960).

10279824816960 is an abundant number, since it is smaller than the sum of its proper divisors (28309973664960).

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

10279824816960 is a wasteful number, since it uses less digits than its factorization.

10279824816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6004 (or 5988 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 10279824816960 in words is "ten trillion, two hundred seventy-nine billion, eight hundred twenty-four million, eight hundred sixteen thousand, nine hundred sixty".