20300958720000 has 3360 divisors, whose sum is σ = 90902695451040. Its totient is φ = 4514807808000.

The previous prime is 20300958719981. The next prime is 20300958720079. The reversal of 20300958720000 is 2785900302.

It is a happy number.

20300958720000 is a `hidden beast` number, since 20 + 30 + 0 + 9 + 587 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×20300958720000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 548674559982 + ... + 548674560018.

Almost surely, 2^{20300958720000} is an apocalyptic number.

20300958720000 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 20300958720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45451347725520).

20300958720000 is an abundant number, since it is smaller than the sum of its proper divisors (70601736731040).

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

20300958720000 is an frugal number, since it uses more digits than its factorization.

20300958720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 20300958720000 in words is "twenty trillion, three hundred billion, nine hundred fifty-eight million, seven hundred twenty thousand".