10279854963840 has 768 divisors, whose sum is σ = 42489910149120. Its totient is φ = 2067158016000.

The previous prime is 10279854963827. The next prime is 10279854963857. The reversal of 10279854963840 is 4836945897201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50311485 + ... + 50515395.

It is an arithmetic number, because the mean of its divisors is an integer number (55325403840).

It is a 1-persistent number, because it is pandigital, but 2⋅10279854963840 = 20559709927680 is not.

Almost surely, 2^{10279854963840} is an apocalyptic number.

10279854963840 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 10279854963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244955074560).

10279854963840 is an abundant number, since it is smaller than the sum of its proper divisors (32210055185280).

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

10279854963840 is a wasteful number, since it uses less digits than its factorization.

10279854963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203993 (or 203970 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 10279854963840 in words is "ten trillion, two hundred seventy-nine billion, eight hundred fifty-four million, nine hundred sixty-three thousand, eight hundred forty".