1127580672000 has 448 divisors, whose sum is σ = 3768521986944. Its totient is φ = 299394662400.

The previous prime is 1127580671999. The next prime is 1127580672013. The reversal of 1127580672000 is 2760857211.

It is a self number, because there is not a number n which added to its sum of digits gives 1127580672000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869375352 + ... + 869376648.

Almost surely, 2^{1127580672000} is an apocalyptic number.

1127580672000 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 1127580672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884260993472).

1127580672000 is an abundant number, since it is smaller than the sum of its proper divisors (2640941314944).

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

1127580672000 is an equidigital number, since it uses as much as digits as its factorization.

1127580672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 1127580672000 in words is "one trillion, one hundred twenty-seven billion, five hundred eighty million, six hundred seventy-two thousand".