1136872788480 has 2160 divisors, whose sum is σ = 4971791784960. Its totient is φ = 239117598720.

The previous prime is 1136872788437. The next prime is 1136872788563. The reversal of 1136872788480 is 848872786311.

1136872788480 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 8 + 72 + 7 + 88 + 480 = 666.

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 215 ways as a sum of consecutive naturals, for example, 8951754177 + ... + 8951754303.

It is an arithmetic number, because the mean of its divisors is an integer number (2301755456).

Almost surely, 2^{1136872788480} is an apocalyptic number.

1136872788480 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 1136872788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485895892480).

1136872788480 is an abundant number, since it is smaller than the sum of its proper divisors (3834918996480).

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

1136872788480 is a wasteful number, since it uses less digits than its factorization.

1136872788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 1136872788480 in words is "one trillion, one hundred thirty-six billion, eight hundred seventy-two million, seven hundred eighty-eight thousand, four hundred eighty".