1127520680300 has 576 divisors, whose sum is σ = 3262471188480. Its totient is φ = 328916090880.

The previous prime is 1127520680291. The next prime is 1127520680303. The reversal of 1127520680300 is 30860257211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (1127520680303) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 443380829 + ... + 443383371.

It is an arithmetic number, because the mean of its divisors is an integer number (5664012480).

Almost surely, 2^{1127520680300} is an apocalyptic number.

1127520680300 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 1127520680300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631235594240).

1127520680300 is an abundant number, since it is smaller than the sum of its proper divisors (2134950508180).

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

1127520680300 is a wasteful number, since it uses less digits than its factorization.

1127520680300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 1127520680300 in words is "one trillion, one hundred twenty-seven billion, five hundred twenty million, six hundred eighty thousand, three hundred".