1195879392864 has 288 divisors, whose sum is σ = 3770739030240. Its totient is φ = 357125677056.

The previous prime is 1195879392859. The next prime is 1195879392913. The reversal of 1195879392864 is 4682939785911.

1195879392864 is a `hidden beast` number, since 1 + 1 + 9 + 587 + 9 + 39 + 2 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1195879392792 and 1195879392801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56647399 + ... + 56668505.

It is an arithmetic number, because the mean of its divisors is an integer number (13092843855).

Almost surely, 2^{1195879392864} 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 1195879392864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885369515120).

1195879392864 is an abundant number, since it is smaller than the sum of its proper divisors (2574859637376).

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

1195879392864 is a wasteful number, since it uses less digits than its factorization.

1195879392864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21582 (or 21571 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

The spelling of 1195879392864 in words is "one trillion, one hundred ninety-five billion, eight hundred seventy-nine million, three hundred ninety-two thousand, eight hundred sixty-four".