20099995272000 has 1344 divisors, whose sum is σ = 86621893263360. Its totient is φ = 4346224128000.

The previous prime is 20099995271987. The next prime is 20099995272013. The reversal of 20099995272000 is 27259999002.

20099995272000 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 9 + 99 + 527 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20099995271987) and next prime (20099995272013).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10409111035 + ... + 10409112965.

It is an arithmetic number, because the mean of its divisors is an integer number (64450813440).

Almost surely, 2^{20099995272000} is an apocalyptic number.

20099995272000 is a gapful number since it is divisible by the number (20) 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 20099995272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43310946631680).

20099995272000 is an abundant number, since it is smaller than the sum of its proper divisors (66521897991360).

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

20099995272000 is a wasteful number, since it uses less digits than its factorization.

20099995272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 20099995272000 in words is "twenty trillion, ninety-nine billion, nine hundred ninety-five million, two hundred seventy-two thousand".