10109368159920 has 800 divisors, whose sum is σ = 37471906644480. Its totient is φ = 2521663488000.

The previous prime is 10109368159907. The next prime is 10109368159937. The reversal of 10109368159920 is 2995186390101.

10109368159920 is a `hidden beast` number, since 1 + 0 + 10 + 9 + 36 + 8 + 1 + 599 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 897727090 + ... + 897738350.

Almost surely, 2^{10109368159920} is an apocalyptic number.

10109368159920 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 10109368159920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18735953322240).

10109368159920 is an abundant number, since it is smaller than the sum of its proper divisors (27362538484560).

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

10109368159920 is a wasteful number, since it uses less digits than its factorization.

10109368159920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11467 (or 11452 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 10109368159920 in words is "ten trillion, one hundred nine billion, three hundred sixty-eight million, one hundred fifty-nine thousand, nine hundred twenty".