19816852070400 has 672 divisors, whose sum is σ = 81692111513088. Its totient is φ = 4117777612800.

The previous prime is 19816852070377. The next prime is 19816852070401. The reversal of 19816852070400 is 407025861891.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (19816852070401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47099359 + ... + 47518241.

Almost surely, 2^{19816852070400} is an apocalyptic number.

19816852070400 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 19816852070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40846055756544).

19816852070400 is an abundant number, since it is smaller than the sum of its proper divisors (61875259442688).

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

19816852070400 is a wasteful number, since it uses less digits than its factorization.

19816852070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418940 (or 418911 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 19816852070400 in words is "nineteen trillion, eight hundred sixteen billion, eight hundred fifty-two million, seventy thousand, four hundred".