1127382688800 has 360 divisors, whose sum is σ = 4222471877316. Its totient is φ = 292509480960.

The previous prime is 1127382688727. The next prime is 1127382688819. The reversal of 1127382688800 is 88862837211.

1127382688800 is a `hidden beast` number, since 1 + 127 + 382 + 68 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 775956621456 + 351426067344 = 880884^2 + 592812^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2162494 + ... + 2632706.

Almost surely, 2^{1127382688800} is an apocalyptic number.

1127382688800 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 1127382688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111235938658).

1127382688800 is an abundant number, since it is smaller than the sum of its proper divisors (3095089188516).

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

1127382688800 is a wasteful number, since it uses less digits than its factorization.

1127382688800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470282 (or 470260 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 1127382688800 in words is "one trillion, one hundred twenty-seven billion, three hundred eighty-two million, six hundred eighty-eight thousand, eight hundred".