10279168628040 has 768 divisors, whose sum is σ = 40142300889600. Its totient is φ = 2253605732352.

The previous prime is 10279168628039. The next prime is 10279168628051. The reversal of 10279168628040 is 4082686197201.

It is a happy number.

10279168628040 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 9 + 1 + 6 + 8 + 628 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×10279168628040² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1606870122 + ... + 1606876518.

It is an arithmetic number, because the mean of its divisors is an integer number (52268620950).

Almost surely, 2^{10279168628040} is an apocalyptic number.

10279168628040 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 10279168628040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20071150444800).

10279168628040 is an abundant number, since it is smaller than the sum of its proper divisors (29863132261560).

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

10279168628040 is a wasteful number, since it uses less digits than its factorization.

10279168628040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7526 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10279168628040 in words is "ten trillion, two hundred seventy-nine billion, one hundred sixty-eight million, six hundred twenty-eight thousand, forty".