1154966791680 has 1920 divisors, whose sum is σ = 4900582342656. Its totient is φ = 257989017600.

The previous prime is 1154966791661. The next prime is 1154966791717. The reversal of 1154966791680 is 861976694511.

1154966791680 is a `hidden beast` number, since 1 + 1 + 5 + 496 + 67 + 9 + 1 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4261869945 + ... + 4261870215.

Almost surely, 2^{1154966791680} is an apocalyptic number.

1154966791680 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 1154966791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450291171328).

1154966791680 is an abundant number, since it is smaller than the sum of its proper divisors (3745615550976).

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

1154966791680 is a wasteful number, since it uses less digits than its factorization.

1154966791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 1154966791680 in words is "one trillion, one hundred fifty-four billion, nine hundred sixty-six million, seven hundred ninety-one thousand, six hundred eighty".