19952684752992 has 192 divisors, whose sum is σ = 55037705361408. Its totient is φ = 6320922624000.

The previous prime is 19952684752963. The next prime is 19952684752993. The reversal of 19952684752992 is 29925748625991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19952684752993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116278843 + ... + 116450309.

It is an arithmetic number, because the mean of its divisors is an integer number (286654715424).

Almost surely, 2^{19952684752992} is an apocalyptic number.

19952684752992 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 19952684752992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518852680704).

19952684752992 is an abundant number, since it is smaller than the sum of its proper divisors (35085020608416).

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

19952684752992 is a wasteful number, since it uses less digits than its factorization.

19952684752992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172213 (or 172205 counting only the distinct ones).

The product of its digits is 1763596800, while the sum is 78.

The spelling of 19952684752992 in words is "nineteen trillion, nine hundred fifty-two billion, six hundred eighty-four million, seven hundred fifty-two thousand, nine hundred ninety-two".