20233966795200 has 1680 divisors, whose sum is σ = 80235301576320. Its totient is φ = 4985886597120.

The previous prime is 20233966795199. The next prime is 20233966795247. The reversal of 20233966795200 is 259766933202.

It is a happy number.

20233966795200 is a `hidden beast` number, since 2 + 0 + 23 + 3 + 96 + 6 + 7 + 9 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29625134059 + ... + 29625134741.

Almost surely, 2^{20233966795200} is an apocalyptic number.

20233966795200 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 20233966795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40117650788160).

20233966795200 is an abundant number, since it is smaller than the sum of its proper divisors (60001334781120).

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

20233966795200 is a wasteful number, since it uses less digits than its factorization.

20233966795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 20233966795200 in words is "twenty trillion, two hundred thirty-three billion, nine hundred sixty-six million, seven hundred ninety-five thousand, two hundred".