20408636583972 has 1536 divisors, whose sum is σ = 70903906304000. Its totient is φ = 5036832460800.

The previous prime is 20408636583961. The next prime is 20408636583991. The reversal of 20408636583972 is 27938563680402.

It is a happy number.

20408636583972 is a `hidden beast` number, since 2 + 0 + 40 + 8 + 6 + 3 + 6 + 583 + 9 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 511 ways as a sum of consecutive naturals, for example, 66477643443 + ... + 66477643749.

Almost surely, 2^{20408636583972} 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 20408636583972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35451953152000).

20408636583972 is an abundant number, since it is smaller than the sum of its proper divisors (50495269720028).

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

20408636583972 is a wasteful number, since it uses less digits than its factorization.

20408636583972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 20408636583972 in words is "twenty trillion, four hundred eight billion, six hundred thirty-six million, five hundred eighty-three thousand, nine hundred seventy-two".