1130700219264 has 1536 divisors, whose sum is σ = 4426845696000. Its totient is φ = 268247531520.

The previous prime is 1130700219247. The next prime is 1130700219269. The reversal of 1130700219264 is 4629120070311.

1130700219264 is a `hidden beast` number, since 113 + 0 + 70 + 0 + 219 + 264 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130700219269) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8253286204 + ... + 8253286340.

It is an arithmetic number, because the mean of its divisors is an integer number (2882061000).

Almost surely, 2^{1130700219264} is an apocalyptic number.

1130700219264 is a gapful number since it is divisible by the number (14) 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 1130700219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213422848000).

1130700219264 is an abundant number, since it is smaller than the sum of its proper divisors (3296145476736).

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

1130700219264 is a wasteful number, since it uses less digits than its factorization.

1130700219264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 1130700219264 its reverse (4629120070311), we get a palindrome (5759820289575).

The spelling of 1130700219264 in words is "one trillion, one hundred thirty billion, seven hundred million, two hundred nineteen thousand, two hundred sixty-four".