20197382400 has 972 divisors, whose sum is σ = 82934161492. Its totient is φ = 4837294080.

The previous prime is 20197382399. The next prime is 20197382407. The reversal of 20197382400 is 428379102.

It can be written as a sum of positive squares in 6 ways, for example, as 241864704 + 19955517696 = 15552^2 + 141264^2 .

It is a tau number, because it is divible by the number of its divisors (972).

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

It is not an unprimeable number, because it can be changed into a prime (20197382407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 545875182 + ... + 545875218.

Almost surely, 2^20197382400 is an apocalyptic number.

20197382400 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 20197382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41467080746).

20197382400 is an abundant number, since it is smaller than the sum of its proper divisors (62736779092).

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

20197382400 is an frugal number, since it uses more digits than its factorization.

20197382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 60 counting only the distinct ones).

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

The spelling of 20197382400 in words is "twenty billion, one hundred ninety-seven million, three hundred eighty-two thousand, four hundred".