20050987395600 has 1920 divisors, whose sum is σ = 88636612608000. Its totient is φ = 4288331980800.

The previous prime is 20050987395581. The next prime is 20050987395623. The reversal of 20050987395600 is 659378905002.

20050987395600 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 0 + 9 + 8 + 73 + 9 + 560 + 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 (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12028185967 + ... + 12028187633.

It is an arithmetic number, because the mean of its divisors is an integer number (46164902400).

Almost surely, 2^{20050987395600} is an apocalyptic number.

20050987395600 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 20050987395600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44318306304000).

20050987395600 is an abundant number, since it is smaller than the sum of its proper divisors (68585625212400).

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

20050987395600 is a wasteful number, since it uses less digits than its factorization.

20050987395600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 20050987395600 in words is "twenty trillion, fifty billion, nine hundred eighty-seven million, three hundred ninety-five thousand, six hundred".