1127607747840 has 1152 divisors, whose sum is σ = 4860641157120. Its totient is φ = 241649713152.

The previous prime is 1127607747817. The next prime is 1127607747859. The reversal of 1127607747840 is 487477067211.

1127607747840 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 60 + 77 + 478 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 2002855399 + ... + 2002855961.

It is an arithmetic number, because the mean of its divisors is an integer number (4219306560).

Almost surely, 2^{1127607747840} is an apocalyptic number.

1127607747840 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 1127607747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430320578560).

1127607747840 is an abundant number, since it is smaller than the sum of its proper divisors (3733033409280).

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

1127607747840 is a wasteful number, since it uses less digits than its factorization.

1127607747840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 1127607747840 in words is "one trillion, one hundred twenty-seven billion, six hundred seven million, seven hundred forty-seven thousand, eight hundred forty".