19822365053400 has 1536 divisors, whose sum is σ = 79295904737280. Its totient is φ = 3985293312000.

The previous prime is 19822365053399. The next prime is 19822365053417. The reversal of 19822365053400 is 435056322891.

It is a self number, because there is not a number n which added to its sum of digits gives 19822365053400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29988449070 + ... + 29988449730.

It is an arithmetic number, because the mean of its divisors is an integer number (51624937980).

Almost surely, 2^{19822365053400} is an apocalyptic number.

19822365053400 is a gapful number since it is divisible by the number (10) 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 19822365053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39647952368640).

19822365053400 is an abundant number, since it is smaller than the sum of its proper divisors (59473539683880).

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

19822365053400 is a wasteful number, since it uses less digits than its factorization.

19822365053400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 19822365053400 in words is "nineteen trillion, eight hundred twenty-two billion, three hundred sixty-five million, fifty-three thousand, four hundred".