10167006540 has 24 divisors (see below), whose sum is σ = 28467618480. Its totient is φ = 2711201728.

The previous prime is 10167006527. The next prime is 10167006541. The reversal of 10167006540 is 4560076101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10167006498 and 10167006507.

It is not an unprimeable number, because it can be changed into a prime (10167006541) by changing a digit.

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, 84724995 + ... + 84725114.

It is an arithmetic number, because the mean of its divisors is an integer number (1186150770).

Almost surely, 2^10167006540 is an apocalyptic number.

10167006540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10167006540 is an abundant number, since it is smaller than the sum of its proper divisors (18300611940).

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

10167006540 is a wasteful number, since it uses less digits than its factorization.

10167006540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169450121 (or 169450119 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 10167006540 in words is "ten billion, one hundred sixty-seven million, six thousand, five hundred forty".