1130518702080 has 1536 divisors, whose sum is σ = 4507513920000. Its totient is φ = 267544166400.

The previous prime is 1130518702063. The next prime is 1130518702133. The reversal of 1130518702080 is 802078150311.

1130518702080 is a `hidden beast` number, since 1 + 130 + 518 + 7 + 0 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×1130518702080³ (a number of 37 digits) contains 333 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 6245959590 + ... + 6245959770.

It is an arithmetic number, because the mean of its divisors is an integer number (2934579375).

Almost surely, 2^{1130518702080} is an apocalyptic number.

1130518702080 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 1130518702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253756960000).

1130518702080 is an abundant number, since it is smaller than the sum of its proper divisors (3376995217920).

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

1130518702080 is a wasteful number, since it uses less digits than its factorization.

1130518702080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 1130518702080 in words is "one trillion, one hundred thirty billion, five hundred eighteen million, seven hundred two thousand, eighty".