10068215040 has 864 divisors, whose sum is σ = 40712555520. Its totient is φ = 2277310464.

The previous prime is 10068215023. The next prime is 10068215051. The reversal of 10068215040 is 4051286001.

It is a junction number, because it is equal to n+sod(n) for n = 10068214995 and 10068215013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127445721 + ... + 127445799.

Almost surely, 2^10068215040 is an apocalyptic number.

10068215040 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 10068215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20356277760).

10068215040 is an abundant number, since it is smaller than the sum of its proper divisors (30644340480).

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

10068215040 is a wasteful number, since it uses less digits than its factorization.

10068215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10068215040 in words is "ten billion, sixty-eight million, two hundred fifteen thousand, forty".