20697093331200 has 648 divisors, whose sum is σ = 86933314453440. Its totient is φ = 4631515545600.

The previous prime is 20697093331199. The next prime is 20697093331223. The reversal of 20697093331200 is 213339079602.

20697093331200 is a `hidden beast` number, since 20 + 6 + 9 + 7 + 0 + 93 + 331 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6980421 + ... + 9493179.

Almost surely, 2^{20697093331200} is an apocalyptic number.

20697093331200 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 20697093331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43466657226720).

20697093331200 is an abundant number, since it is smaller than the sum of its proper divisors (66236221122240).

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

20697093331200 is a wasteful number, since it uses less digits than its factorization.

20697093331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512815 (or 2512793 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 20697093331200 in words is "twenty trillion, six hundred ninety-seven billion, ninety-three million, three hundred thirty-one thousand, two hundred".