20120788800 has 504 divisors, whose sum is σ = 84768838336. Its totient is φ = 4598415360.

The previous prime is 20120788789. The next prime is 20120788819. The reversal of 20120788800 is 888702102.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×20120788800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2717904 + ... + 2725296.

Almost surely, 2^20120788800 is an apocalyptic number.

20120788800 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 20120788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42384419168).

20120788800 is an abundant number, since it is smaller than the sum of its proper divisors (64648049536).

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

20120788800 is an equidigital number, since it uses as much as digits as its factorization.

20120788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7437 (or 7410 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 20120788800 in words is "twenty billion, one hundred twenty million, seven hundred eighty-eight thousand, eight hundred".