20090380472064 has 1944 divisors, whose sum is σ = 76794439529808. Its totient is φ = 5204848803840.

The previous prime is 20090380472027. The next prime is 20090380472117. The reversal of 20090380472064 is 46027408309002.

20090380472064 is a `hidden beast` number, since 2 + 0 + 0 + 90 + 38 + 0 + 472 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×20090380472064² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 43580000794 + ... + 43580001254.

Almost surely, 2^{20090380472064} is an apocalyptic number.

20090380472064 is a gapful number since it is divisible by the number (24) 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 20090380472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38397219764904).

20090380472064 is an abundant number, since it is smaller than the sum of its proper divisors (56704059057744).

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

20090380472064 is an equidigital number, since it uses as much as digits as its factorization.

20090380472064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 20090380472064 in words is "twenty trillion, ninety billion, three hundred eighty million, four hundred seventy-two thousand, sixty-four".