19821770368092 has 288 divisors, whose sum is σ = 63068161089024. Its totient is φ = 5099122368000.

The previous prime is 19821770368039. The next prime is 19821770368123. The reversal of 19821770368092 is 29086307712891.

19821770368092 is a `hidden beast` number, since 19 + 8 + 2 + 177 + 0 + 368 + 0 + 92 = 666.

It is a super-2 number, since 2×19821770368092² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1987538418 + ... + 1987548390.

It is an arithmetic number, because the mean of its divisors is an integer number (218986670448).

Almost surely, 2^{19821770368092} is an apocalyptic number.

19821770368092 is a gapful number since it is divisible by the number (12) 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 19821770368092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31534080544512).

19821770368092 is an abundant number, since it is smaller than the sum of its proper divisors (43246390720932).

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

19821770368092 is a wasteful number, since it uses less digits than its factorization.

19821770368092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16809 (or 16804 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 19821770368092 in words is "nineteen trillion, eight hundred twenty-one billion, seven hundred seventy million, three hundred sixty-eight thousand, ninety-two".