20788856323200 has 3840 divisors, whose sum is σ = 97495559884800. Its totient is φ = 4252877291520.

The previous prime is 20788856323199. The next prime is 20788856323211. The reversal of 20788856323200 is 232365888702.

20788856323200 is a `hidden beast` number, since 2 + 0 + 78 + 8 + 8 + 563 + 2 + 3 + 2 + 0 + 0 = 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 479 ways as a sum of consecutive naturals, for example, 124484169517 + ... + 124484169683.

It is an arithmetic number, because the mean of its divisors is an integer number (25389468720).

Almost surely, 2^{20788856323200} is an apocalyptic number.

20788856323200 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 20788856323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48747779942400).

20788856323200 is an abundant number, since it is smaller than the sum of its proper divisors (76706703561600).

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

20788856323200 is a wasteful number, since it uses less digits than its factorization.

20788856323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 20788856323200 in words is "twenty trillion, seven hundred eighty-eight billion, eight hundred fifty-six million, three hundred twenty-three thousand, two hundred".