20088236615040 has 1024 divisors, whose sum is σ = 79810796620800. Its totient is φ = 4732346695680.

The previous prime is 20088236615021. The next prime is 20088236615081. The reversal of 20088236615040 is 4051663288002.

20088236615040 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 8 + 23 + 6 + 615 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8559111147 + ... + 8559113493.

It is an arithmetic number, because the mean of its divisors is an integer number (77940231075).

Almost surely, 2^{20088236615040} is an apocalyptic number.

20088236615040 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 20088236615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39905398310400).

20088236615040 is an abundant number, since it is smaller than the sum of its proper divisors (59722560005760).

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

20088236615040 is a wasteful number, since it uses less digits than its factorization.

20088236615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 20088236615040 in words is "twenty trillion, eighty-eight billion, two hundred thirty-six million, six hundred fifteen thousand, forty".