19912796294976 has 560 divisors, whose sum is σ = 69126952877136. Its totient is φ = 5610735599616.

The previous prime is 19912796294917. The next prime is 19912796294999. The reversal of 19912796294976 is 67949269721991.

19912796294976 is a `hidden beast` number, since 1 + 9 + 9 + 12 + 7 + 96 + 29 + 497 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1052676000000 + 18860120294976 = 1026000^2 + 4342824^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 19912796294895 and 19912796294904.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 42154690 + ... + 42624446.

Almost surely, 2^{19912796294976} is an apocalyptic number.

19912796294976 is a gapful number since it is divisible by the number (16) 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 19912796294976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34563476438568).

19912796294976 is an abundant number, since it is smaller than the sum of its proper divisors (49214156582160).

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

19912796294976 is a wasteful number, since it uses less digits than its factorization.

19912796294976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469848 (or 469829 counting only the distinct ones).

The product of its digits is 1666598976, while the sum is 81.

The spelling of 19912796294976 in words is "nineteen trillion, nine hundred twelve billion, seven hundred ninety-six million, two hundred ninety-four thousand, nine hundred seventy-six".