20194249743360 has 2816 divisors, whose sum is σ = 91702749265920. Its totient is φ = 4093425745920.

The previous prime is 20194249743313. The next prime is 20194249743377. The reversal of 20194249743360 is 6334794249102.

20194249743360 is a `hidden beast` number, since 2 + 0 + 1 + 94 + 2 + 497 + 4 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20194249743297 and 20194249743306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 123891102639 + ... + 123891102801.

Almost surely, 2^{20194249743360} is an apocalyptic number.

20194249743360 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 20194249743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45851374632960).

20194249743360 is an abundant number, since it is smaller than the sum of its proper divisors (71508499522560).

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

20194249743360 is a wasteful number, since it uses less digits than its factorization.

20194249743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 20194249743360 in words is "twenty trillion, one hundred ninety-four billion, two hundred forty-nine million, seven hundred forty-three thousand, three hundred sixty".