1127820108800 has 528 divisors, whose sum is σ = 3494687659008. Its totient is φ = 350598758400.

The previous prime is 1127820108749. The next prime is 1127820108827. The reversal of 1127820108800 is 88010287211.

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 47 ways as a sum of consecutive naturals, for example, 1433062007 + ... + 1433062793.

Almost surely, 2^{1127820108800} is an apocalyptic number.

1127820108800 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 1127820108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747343829504).

1127820108800 is an abundant number, since it is smaller than the sum of its proper divisors (2366867550208).

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

1127820108800 is a wasteful number, since it uses less digits than its factorization.

1127820108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 38.

The spelling of 1127820108800 in words is "one trillion, one hundred twenty-seven billion, eight hundred twenty million, one hundred eight thousand, eight hundred".