20037789688896 has 336 divisors, whose sum is σ = 68080798088576. Its totient is φ = 5724238823424.

The previous prime is 20037789688877. The next prime is 20037789688901. The reversal of 20037789688896 is 69888698773002.

20037789688896 is a `hidden beast` number, since 2 + 0 + 0 + 377 + 8 + 96 + 88 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473685170 + ... + 1473698766.

Almost surely, 2^{20037789688896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20037789688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34040399044288).

20037789688896 is an abundant number, since it is smaller than the sum of its proper divisors (48043008399680).

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

20037789688896 is a wasteful number, since it uses less digits than its factorization.

20037789688896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27168 (or 27146 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 81.

The spelling of 20037789688896 in words is "twenty trillion, thirty-seven billion, seven hundred eighty-nine million, six hundred eighty-eight thousand, eight hundred ninety-six".