1127251550880 has 576 divisors, whose sum is σ = 4882555480320. Its totient is φ = 237836611584.

The previous prime is 1127251550863. The next prime is 1127251550941. The reversal of 1127251550880 is 880551527211.

It is a happy number.

1127251550880 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 2 + 515 + 50 + 8 + 80 = 666.

It is a super-2 number, since 2×1127251550880² (a number of 25 digits) contains 22 as substring.

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, 5000274 + ... + 5220846.

It is an arithmetic number, because the mean of its divisors is an integer number (8476658820).

Almost surely, 2^{1127251550880} is an apocalyptic number.

1127251550880 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 1127251550880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441277740160).

1127251550880 is an abundant number, since it is smaller than the sum of its proper divisors (3755303929440).

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

1127251550880 is a wasteful number, since it uses less digits than its factorization.

1127251550880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220630 (or 220603 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 45.

The spelling of 1127251550880 in words is "one trillion, one hundred twenty-seven billion, two hundred fifty-one million, five hundred fifty thousand, eight hundred eighty".