20290981194432 has 784 divisors, whose sum is σ = 66762605189280. Its totient is φ = 6076178841600.

The previous prime is 20290981194383. The next prime is 20290981194443. The reversal of 20290981194432 is 23449118909202.

It is a happy number.

20290981194432 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 0 + 98 + 119 + 4 + 432 = 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 111 ways as a sum of consecutive naturals, for example, 14199426294 + ... + 14199427722.

It is an arithmetic number, because the mean of its divisors is an integer number (85156384170).

Almost surely, 2^{20290981194432} 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 20290981194432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33381302594640).

20290981194432 is an abundant number, since it is smaller than the sum of its proper divisors (46471623994848).

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

20290981194432 is a wasteful number, since it uses less digits than its factorization.

20290981194432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 20290981194432 in words is "twenty trillion, two hundred ninety billion, nine hundred eighty-one million, one hundred ninety-four thousand, four hundred thirty-two".