10279097136 has 360 divisors, whose sum is σ = 36677152512. Its totient is φ = 2630073600.

The previous prime is 10279097119. The next prime is 10279097161. The reversal of 10279097136 is 63179097201.

It is a junction number, because it is equal to n+sod(n) for n = 10279097091 and 10279097100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8659135 + ... + 8660321.

Almost surely, 2^10279097136 is an apocalyptic number.

10279097136 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 10279097136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338576256).

10279097136 is an abundant number, since it is smaller than the sum of its proper divisors (26398055376).

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

10279097136 is a wasteful number, since it uses less digits than its factorization.

10279097136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 10279097136 in words is "ten billion, two hundred seventy-nine million, ninety-seven thousand, one hundred thirty-six".