1195920828288 has 384 divisors, whose sum is σ = 3544524023040. Its totient is φ = 386917171200.

The previous prime is 1195920828287. The next prime is 1195920828299. The reversal of 1195920828288 is 8828280295911.

1195920828288 is a `hidden beast` number, since 1 + 19 + 592 + 0 + 8 + 2 + 8 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1195920828281) 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, 2435683723 + ... + 2435684213.

It is an arithmetic number, because the mean of its divisors is an integer number (9230531310).

Almost surely, 2^{1195920828288} is an apocalyptic number.

1195920828288 is a gapful number since it is divisible by the number (18) 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 1195920828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772262011520).

1195920828288 is an abundant number, since it is smaller than the sum of its proper divisors (2348603194752).

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

1195920828288 is a wasteful number, since it uses less digits than its factorization.

1195920828288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 63.

The spelling of 1195920828288 in words is "one trillion, one hundred ninety-five billion, nine hundred twenty million, eight hundred twenty-eight thousand, two hundred eighty-eight".