10115185920 has 576 divisors, whose sum is σ = 38930841600. Its totient is φ = 2189721600.

The previous prime is 10115185853. The next prime is 10115185931. The reversal of 10115185920 is 2958151101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50829981 + ... + 50830179.

Almost surely, 2^10115185920 is an apocalyptic number.

10115185920 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 10115185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19465420800).

10115185920 is an abundant number, since it is smaller than the sum of its proper divisors (28815655680).

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

10115185920 is a wasteful number, since it uses less digits than its factorization.

10115185920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 33.

The spelling of 10115185920 in words is "ten billion, one hundred fifteen million, one hundred eighty-five thousand, nine hundred twenty".