20601681408 has 480 divisors, whose sum is σ = 76561385472. Its totient is φ = 5175705600.

The previous prime is 20601681337. The next prime is 20601681413. The reversal of 20601681408 is 80418610602.

20601681408 is a `hidden beast` number, since 2 + 0 + 601 + 6 + 8 + 1 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 10998360 + ... + 11000232.

Almost surely, 2^20601681408 is an apocalyptic number.

20601681408 is a gapful number since it is divisible by the number (28) 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 20601681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38280692736).

20601681408 is an abundant number, since it is smaller than the sum of its proper divisors (55959704064).

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

20601681408 is a wasteful number, since it uses less digits than its factorization.

20601681408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 20601681408 in words is "twenty billion, six hundred one million, six hundred eighty-one thousand, four hundred eight".