1190132766720 has 480 divisors, whose sum is σ = 4356709156800. Its totient is φ = 310606036992.

The previous prime is 1190132766703. The next prime is 1190132766721. The reversal of 1190132766720 is 276672310911.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1190132766721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38968416 + ... + 38998944.

It is an arithmetic number, because the mean of its divisors is an integer number (9076477410).

Almost surely, 2^{1190132766720} is an apocalyptic number.

1190132766720 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 1190132766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178354578400).

1190132766720 is an abundant number, since it is smaller than the sum of its proper divisors (3166576390080).

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

1190132766720 is an equidigital number, since it uses as much as digits as its factorization.

1190132766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30615 (or 30586 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 1190132766720 in words is "one trillion, one hundred ninety billion, one hundred thirty-two million, seven hundred sixty-six thousand, seven hundred twenty".