1164486378880 has 256 divisors, whose sum is σ = 3278255846400. Its totient is φ = 391070310400.

The previous prime is 1164486378829. The next prime is 1164486378911. The reversal of 1164486378880 is 888736844611.

It is a Harshad number since it is a multiple of its sum of digits (64).

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 31 ways as a sum of consecutive naturals, for example, 4571685 + ... + 4819675.

It is an arithmetic number, because the mean of its divisors is an integer number (12805686900).

Almost surely, 2^{1164486378880} is an apocalyptic number.

1164486378880 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 1164486378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639127923200).

1164486378880 is an abundant number, since it is smaller than the sum of its proper divisors (2113769467520).

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

1164486378880 is a wasteful number, since it uses less digits than its factorization.

1164486378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248073 (or 248061 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 64.

The spelling of 1164486378880 in words is "one trillion, one hundred sixty-four billion, four hundred eighty-six million, three hundred seventy-eight thousand, eight hundred eighty".