1127752104960 has 1056 divisors, whose sum is σ = 4466672562240. Its totient is φ = 268234260480.

The previous prime is 1127752104907. The next prime is 1127752104967. The reversal of 1127752104960 is 694012577211.

1127752104960 is a `hidden beast` number, since 1 + 1 + 27 + 7 + 521 + 0 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127752104967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1727031994 + ... + 1727032646.

Almost surely, 2^{1127752104960} is an apocalyptic number.

1127752104960 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 1127752104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233336281120).

1127752104960 is an abundant number, since it is smaller than the sum of its proper divisors (3338920457280).

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

1127752104960 is a wasteful number, since it uses less digits than its factorization.

1127752104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1127752104960 in words is "one trillion, one hundred twenty-seven billion, seven hundred fifty-two million, one hundred four thousand, nine hundred sixty".