20345861196000 has 288 divisors, whose sum is σ = 72692094384000. Its totient is φ = 5389148390400.

The previous prime is 20345861195987. The next prime is 20345861196049. The reversal of 20345861196000 is 69116854302.

20345861196000 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 586 + 1 + 1 + 9 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3467481 + ... + 7260519.

It is an arithmetic number, because the mean of its divisors is an integer number (252403105500).

Almost surely, 2^{20345861196000} is an apocalyptic number.

20345861196000 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 20345861196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36346047192000).

20345861196000 is an abundant number, since it is smaller than the sum of its proper divisors (52346233188000).

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

20345861196000 is a wasteful number, since it uses less digits than its factorization.

20345861196000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793219 (or 3793198 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20345861196000 in words is "twenty trillion, three hundred forty-five billion, eight hundred sixty-one million, one hundred ninety-six thousand".