20073531788640 has 1536 divisors, whose sum is σ = 81730562457600. Its totient is φ = 4553708544000.

The previous prime is 20073531788627. The next prime is 20073531788641. The reversal of 20073531788640 is 4688713537002.

It is a happy number.

20073531788640 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 353 + 178 + 86 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20073531788641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10786421310 + ... + 10786423170.

It is an arithmetic number, because the mean of its divisors is an integer number (53210001600).

Almost surely, 2^{20073531788640} is an apocalyptic number.

20073531788640 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 20073531788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40865281228800).

20073531788640 is an abundant number, since it is smaller than the sum of its proper divisors (61657030668960).

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

20073531788640 is a wasteful number, since it uses less digits than its factorization.

20073531788640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 20073531788640 in words is "twenty trillion, seventy-three billion, five hundred thirty-one million, seven hundred eighty-eight thousand, six hundred forty".