1199158826880 has 768 divisors, whose sum is σ = 4525487366400. Its totient is φ = 269263798272.

The previous prime is 1199158826867. The next prime is 1199158826917. The reversal of 1199158826880 is 886288519911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1399251412 + ... + 1399252268.

It is an arithmetic number, because the mean of its divisors is an integer number (5892561675).

Almost surely, 2^{1199158826880} is an apocalyptic number.

1199158826880 is a gapful number since it is divisible by the number (10) 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 1199158826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262743683200).

1199158826880 is an abundant number, since it is smaller than the sum of its proper divisors (3326328539520).

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

1199158826880 is a wasteful number, since it uses less digits than its factorization.

1199158826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 66.

The spelling of 1199158826880 in words is "one trillion, one hundred ninety-nine billion, one hundred fifty-eight million, eight hundred twenty-six thousand, eight hundred eighty".