20212191902400 has 672 divisors, whose sum is σ = 68911232256000. Its totient is φ = 5181190963200.

The previous prime is 20212191902389. The next prime is 20212191902401. The reversal of 20212191902400 is 420919121202.

It is a super-3 number, since 3×20212191902400³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (20212191902401) 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, 18907569066 + ... + 18907570134.

Almost surely, 2^{20212191902400} is an apocalyptic number.

20212191902400 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 20212191902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34455616128000).

20212191902400 is an abundant number, since it is smaller than the sum of its proper divisors (48699040353600).

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

20212191902400 is a wasteful number, since it uses less digits than its factorization.

20212191902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 20212191902400 in words is "twenty trillion, two hundred twelve billion, one hundred ninety-one million, nine hundred two thousand, four hundred".