20788694400 has 192 divisors, whose sum is σ = 68888090880. Its totient is φ = 5510031360.

The previous prime is 20788694393. The next prime is 20788694413. The reversal of 20788694400 is 449688702.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20788694400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1596717 + ... + 1609683.

It is an arithmetic number, because the mean of its divisors is an integer number (358792140).

Almost surely, 2^20788694400 is an apocalyptic number.

20788694400 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 20788694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34444045440).

20788694400 is an abundant number, since it is smaller than the sum of its proper divisors (48099396480).

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

20788694400 is a wasteful number, since it uses less digits than its factorization.

20788694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13161 (or 13144 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 20788694400 in words is "twenty billion, seven hundred eighty-eight million, six hundred ninety-four thousand, four hundred".