20713492800 has 1344 divisors, whose sum is σ = 101593497600. Its totient is φ = 3964723200.

The previous prime is 20713492783. The next prime is 20713492819. The reversal of 20713492800 is 829431702.

20713492800 is a `hidden beast` number, since 20 + 71 + 3 + 492 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 43242961 + ... + 43243439.

It is an arithmetic number, because the mean of its divisors is an integer number (75590400).

Almost surely, 2^20713492800 is an apocalyptic number.

20713492800 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 20713492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50796748800).

20713492800 is an abundant number, since it is smaller than the sum of its proper divisors (80880004800).

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

20713492800 is a wasteful number, since it uses less digits than its factorization.

20713492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20713492800 in words is "twenty billion, seven hundred thirteen million, four hundred ninety-two thousand, eight hundred".