20693409409200 has 480 divisors, whose sum is σ = 72743427194112. Its totient is φ = 4986888192000.

The previous prime is 20693409409177. The next prime is 20693409409207. The reversal of 20693409409200 is 290490439602.

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 20693409409200.

It is not an unprimeable number, because it can be changed into a prime (20693409409207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1542320892 + ... + 1542334308.

Almost surely, 2^{20693409409200} is an apocalyptic number.

20693409409200 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 20693409409200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36371713597056).

20693409409200 is an abundant number, since it is smaller than the sum of its proper divisors (52050017784912).

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

20693409409200 is a wasteful number, since it uses less digits than its factorization.

20693409409200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14133 (or 14122 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 20693409409200 in words is "twenty trillion, six hundred ninety-three billion, four hundred nine million, four hundred nine thousand, two hundred".