20795972400 has 450 divisors, whose sum is σ = 86827022700. Its totient is φ = 4753002240.

The previous prime is 20795972387. The next prime is 20795972401. The reversal of 20795972400 is 427959702.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20795972401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1581051 + ... + 1594149.

Almost surely, 2^20795972400 is an apocalyptic number.

20795972400 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 20795972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43413511350).

20795972400 is an abundant number, since it is smaller than the sum of its proper divisors (66031050300).

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

20795972400 is a wasteful number, since it uses less digits than its factorization.

20795972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13143 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 20795972400 in words is "twenty billion, seven hundred ninety-five million, nine hundred seventy-two thousand, four hundred".