10279078160 has 40 divisors (see below), whose sum is σ = 25737232920. Its totient is φ = 3795351552.

The previous prime is 10279078153. The next prime is 10279078181. The reversal of 10279078160 is 6187097201.

It can be written as a sum of positive squares in 4 ways, for example, as 1160356096 + 9118722064 = 34064^2 + 95492^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4940825 + ... + 4942904.

It is an arithmetic number, because the mean of its divisors is an integer number (643430823).

Almost surely, 2^10279078160 is an apocalyptic number.

10279078160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10279078160 is an abundant number, since it is smaller than the sum of its proper divisors (15458154760).

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

10279078160 is a wasteful number, since it uses less digits than its factorization.

10279078160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9883755 (or 9883749 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 41.

The spelling of 10279078160 in words is "ten billion, two hundred seventy-nine million, seventy-eight thousand, one hundred sixty".