20144692592640 has 4896 divisors, whose sum is σ = 100697759884800. Its totient is φ = 3662382366720.

The previous prime is 20144692592573. The next prime is 20144692592671. The reversal of 20144692592640 is 4629529644102.

It is a happy number.

20144692592640 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 4 + 6 + 9 + 2 + 592 + 6 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 694644572146 + ... + 694644572174.

Almost surely, 2^{20144692592640} is an apocalyptic number.

20144692592640 is a gapful number since it is divisible by the number (20) 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 20144692592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50348879942400).

20144692592640 is an abundant number, since it is smaller than the sum of its proper divisors (80553067292160).

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

20144692592640 is a wasteful number, since it uses less digits than its factorization.

20144692592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 20144692592640 in words is "twenty trillion, one hundred forty-four billion, six hundred ninety-two million, five hundred ninety-two thousand, six hundred forty".