1130790721536 has 576 divisors, whose sum is σ = 3826787328000. Its totient is φ = 321549484032.

The previous prime is 1130790721513. The next prime is 1130790721549. The reversal of 1130790721536 is 6351270970311.

1130790721536 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 7 + 90 + 7 + 21 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 1130790721491 and 1130790721500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2421393175 + ... + 2421393641.

It is an arithmetic number, because the mean of its divisors is an integer number (6643728000).

Almost surely, 2^{1130790721536} is an apocalyptic number.

1130790721536 is a gapful number since it is divisible by the number (16) 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 1130790721536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913393664000).

1130790721536 is an abundant number, since it is smaller than the sum of its proper divisors (2695996606464).

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

1130790721536 is an equidigital number, since it uses as much as digits as its factorization.

1130790721536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 1130790721536 in words is "one trillion, one hundred thirty billion, seven hundred ninety million, seven hundred twenty-one thousand, five hundred thirty-six".