21119778456192 has 768 divisors, whose sum is σ = 73189312560000. Its totient is φ = 6006127656960.

The previous prime is 21119778456131. The next prime is 21119778456269. The reversal of 21119778456192 is 29165487791112.

21119778456192 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 9 + 7 + 7 + 8 + 4 + 5 + 619 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 314956684 + ... + 315023732.

Almost surely, 2^{21119778456192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21119778456192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36594656280000).

21119778456192 is an abundant number, since it is smaller than the sum of its proper divisors (52069534103808).

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

21119778456192 is a wasteful number, since it uses less digits than its factorization.

21119778456192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67151 (or 67127 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 63.

The spelling of 21119778456192 in words is "twenty-one trillion, one hundred nineteen billion, seven hundred seventy-eight million, four hundred fifty-six thousand, one hundred ninety-two".