20381657788800 has 5760 divisors, whose sum is σ = 103172516536320. Its totient is φ = 3862668902400.

The previous prime is 20381657788717. The next prime is 20381657788837. The reversal of 20381657788800 is 888775618302.

20381657788800 is a `hidden beast` number, since 20 + 38 + 1 + 6 + 577 + 8 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 160485494337 + ... + 160485494463.

It is an arithmetic number, because the mean of its divisors is an integer number (17911895232).

Almost surely, 2^{20381657788800} is an apocalyptic number.

20381657788800 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 20381657788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51586258268160).

20381657788800 is an abundant number, since it is smaller than the sum of its proper divisors (82790858747520).

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

20381657788800 is a wasteful number, since it uses less digits than its factorization.

20381657788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 20381657788800 in words is "twenty trillion, three hundred eighty-one billion, six hundred fifty-seven million, seven hundred eighty-eight thousand, eight hundred".