20361608917632 has 320 divisors, whose sum is σ = 61498734580800. Its totient is φ = 6686223667200.

The previous prime is 20361608917619. The next prime is 20361608917651. The reversal of 20361608917632 is 23671980616302.

20361608917632 is a `hidden beast` number, since 2 + 0 + 3 + 616 + 0 + 8 + 9 + 17 + 6 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 972414619 + ... + 972435557.

It is an arithmetic number, because the mean of its divisors is an integer number (192183545565).

Almost surely, 2^{20361608917632} 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 20361608917632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30749367290400).

20361608917632 is an abundant number, since it is smaller than the sum of its proper divisors (41137125663168).

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

20361608917632 is a wasteful number, since it uses less digits than its factorization.

20361608917632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22357 (or 22336 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 20361608917632 in words is "twenty trillion, three hundred sixty-one billion, six hundred eight million, nine hundred seventeen thousand, six hundred thirty-two".