1130390263872 has 336 divisors, whose sum is σ = 3327706571904. Its totient is φ = 366772224000.

The previous prime is 1130390263867. The next prime is 1130390263879. The reversal of 1130390263872 is 2783620930311.

1130390263872 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 3 + 9 + 0 + 2 + 638 + 7 + 2 = 666.

It is a super-3 number, since 3×1130390263872³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1130390263879) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1376845222 + ... + 1376846042.

Almost surely, 2^{1130390263872} is an apocalyptic number.

1130390263872 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 1130390263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663853285952).

1130390263872 is an abundant number, since it is smaller than the sum of its proper divisors (2197316308032).

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

1130390263872 is a wasteful number, since it uses less digits than its factorization.

1130390263872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1130390263872 in words is "one trillion, one hundred thirty billion, three hundred ninety million, two hundred sixty-three thousand, eight hundred seventy-two".