10069013879540 has 288 divisors, whose sum is σ = 27794780547072. Its totient is φ = 2995539148800.

The previous prime is 10069013879489. The next prime is 10069013879543. The reversal of 10069013879540 is 4597831096001.

It is a super-2 number, since 2×10069013879540² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10069013879543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38203892 + ... + 38466548.

Almost surely, 2^{10069013879540} is an apocalyptic number.

10069013879540 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 10069013879540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13897390273536).

10069013879540 is an abundant number, since it is smaller than the sum of its proper divisors (17725766667532).

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

10069013879540 is a wasteful number, since it uses less digits than its factorization.

10069013879540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262799 (or 262786 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 10069013879540 in words is "ten trillion, sixty-nine billion, thirteen million, eight hundred seventy-nine thousand, five hundred forty".