10019077115220 has 36 divisors (see below), whose sum is σ = 30391200583380. Its totient is φ = 2671753897344.

The previous prime is 10019077115189. The next prime is 10019077115227. The reversal of 10019077115220 is 2251177091001.

10019077115220 is a `hidden beast` number, since 100 + 19 + 0 + 7 + 7 + 11 + 522 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2318152412304 + 7700924702916 = 1522548^2 + 2775054^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10019077115227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27830769585 + ... + 27830769944.

It is an arithmetic number, because the mean of its divisors is an integer number (844200016205).

Almost surely, 2^{10019077115220} is an apocalyptic number.

10019077115220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10019077115220 is an abundant number, since it is smaller than the sum of its proper divisors (20372123468160).

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

10019077115220 is a wasteful number, since it uses less digits than its factorization.

10019077115220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55661539544 (or 55661539539 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 36.

The spelling of 10019077115220 in words is "ten trillion, nineteen billion, seventy-seven million, one hundred fifteen thousand, two hundred twenty".