10067914920 has 256 divisors, whose sum is σ = 35930304000. Its totient is φ = 2208116736.

The previous prime is 10067914907. The next prime is 10067914937. The reversal of 10067914920 is 2941976001.

It is a Cunningham number, because it is equal to 100339²-1.

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 63 ways as a sum of consecutive naturals, for example, 4213086 + ... + 4215474.

It is an arithmetic number, because the mean of its divisors is an integer number (140352750).

Almost surely, 2^10067914920 is an apocalyptic number.

10067914920 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 10067914920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17965152000).

10067914920 is an abundant number, since it is smaller than the sum of its proper divisors (25862389080).

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

10067914920 is a wasteful number, since it uses less digits than its factorization.

10067914920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 10067914920 in words is "ten billion, sixty-seven million, nine hundred fourteen thousand, nine hundred twenty".