20213191802880 has 576 divisors, whose sum is σ = 72740026840320. Its totient is φ = 5324855574528.

The previous prime is 20213191802851. The next prime is 20213191802893. The reversal of 20213191802880 is 8820819131202.

20213191802880 is a `hidden beast` number, since 20 + 21 + 319 + 18 + 0 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1468654879 + ... + 1468668641.

It is an arithmetic number, because the mean of its divisors is an integer number (126284768820).

Almost surely, 2^{20213191802880} is an apocalyptic number.

20213191802880 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 20213191802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36370013420160).

20213191802880 is an abundant number, since it is smaller than the sum of its proper divisors (52526835037440).

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

20213191802880 is an frugal number, since it uses more digits than its factorization.

20213191802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13894 (or 13856 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 20213191802880 in words is "twenty trillion, two hundred thirteen billion, one hundred ninety-one million, eight hundred two thousand, eight hundred eighty".