20036590838400 has 384 divisors, whose sum is σ = 67704442977600. Its totient is φ = 5205375221760.

The previous prime is 20036590838353. The next prime is 20036590838441. The reversal of 20036590838400 is 483809563002.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20036590838400.

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, 160516812 + ... + 160641588.

Almost surely, 2^{20036590838400} is an apocalyptic number.

20036590838400 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 20036590838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33852221488800).

20036590838400 is an abundant number, since it is smaller than the sum of its proper divisors (47667852139200).

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

20036590838400 is a wasteful number, since it uses less digits than its factorization.

20036590838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125236 (or 125219 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 20036590838400 in words is "twenty trillion, thirty-six billion, five hundred ninety million, eight hundred thirty-eight thousand, four hundred".