1130488100352 has 480 divisors, whose sum is σ = 3647473109280. Its totient is φ = 334677934080.

The previous prime is 1130488100333. The next prime is 1130488100411. The reversal of 1130488100352 is 2530018840311.

1130488100352 is a `hidden beast` number, since 1 + 130 + 488 + 10 + 0 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585440827 + ... + 585442757.

It is an arithmetic number, because the mean of its divisors is an integer number (7598902311).

Almost surely, 2^{1130488100352} is an apocalyptic number.

1130488100352 is a gapful number since it is divisible by the number (12) 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 1130488100352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823736554640).

1130488100352 is an abundant number, since it is smaller than the sum of its proper divisors (2516985008928).

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

1130488100352 is a wasteful number, since it uses less digits than its factorization.

1130488100352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1130488100352 in words is "one trillion, one hundred thirty billion, four hundred eighty-eight million, one hundred thousand, three hundred fifty-two".