20071396800 has 1512 divisors, whose sum is σ = 95029605216. Its totient is φ = 3910533120.

The previous prime is 20071396721. The next prime is 20071396831. The reversal of 20071396800 is 869317002.

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 215 ways as a sum of consecutive naturals, for example, 378705574 + ... + 378705626.

It is an arithmetic number, because the mean of its divisors is an integer number (62850268).

Almost surely, 2^20071396800 is an apocalyptic number.

20071396800 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 20071396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47514802608).

20071396800 is an abundant number, since it is smaller than the sum of its proper divisors (74958208416).

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

20071396800 is a wasteful number, since it uses less digits than its factorization.

20071396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 20071396800 in words is "twenty billion, seventy-one million, three hundred ninety-six thousand, eight hundred".