1130538176640 has 768 divisors, whose sum is σ = 4196521405440. Its totient is φ = 290536243200.

The previous prime is 1130538176563. The next prime is 1130538176723. The reversal of 1130538176640 is 466718350311.

1130538176640 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 538 + 1 + 76 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2029691242 + ... + 2029691798.

It is an arithmetic number, because the mean of its divisors is an integer number (5464220580).

Almost surely, 2^{1130538176640} is an apocalyptic number.

1130538176640 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 1130538176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098260702720).

1130538176640 is an abundant number, since it is smaller than the sum of its proper divisors (3065983228800).

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

1130538176640 is an equidigital number, since it uses as much as digits as its factorization.

1130538176640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1130538176640 in words is "one trillion, one hundred thirty billion, five hundred thirty-eight million, one hundred seventy-six thousand, six hundred forty".