1206998876160 has 1920 divisors, whose sum is σ = 5647038566400. Its totient is φ = 236967690240.

The previous prime is 1206998876131. The next prime is 1206998876177. The reversal of 1206998876160 is 616788996021.

1206998876160 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 9 + 9 + 8 + 8 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3235921734 + ... + 3235922106.

It is an arithmetic number, because the mean of its divisors is an integer number (2941165920).

Almost surely, 2^{1206998876160} is an apocalyptic number.

1206998876160 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 1206998876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823519283200).

1206998876160 is an abundant number, since it is smaller than the sum of its proper divisors (4440039690240).

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

1206998876160 is a wasteful number, since it uses less digits than its factorization.

1206998876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 1206998876160 in words is "one trillion, two hundred six billion, nine hundred ninety-eight million, eight hundred seventy-six thousand, one hundred sixty".