1127610967104 has 112 divisors (see below), whose sum is σ = 3322068235200. Its totient is φ = 375065192448.

The previous prime is 1127610967069. The next prime is 1127610967139. The reversal of 1127610967104 is 4017690167211.

1127610967104 is a `hidden beast` number, since 1 + 1 + 27 + 610 + 9 + 6 + 7 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1127610967069) and next prime (1127610967139).

It is a self number, because there is not a number n which added to its sum of digits gives 1127610967104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108312 + ... + 1505640.

Almost surely, 2^{1127610967104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127610967104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661034117600).

1127610967104 is an abundant number, since it is smaller than the sum of its proper divisors (2194457268096).

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

1127610967104 is a wasteful number, since it uses less digits than its factorization.

1127610967104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397817 (or 1397801 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 1127610967104 in words is "one trillion, one hundred twenty-seven billion, six hundred ten million, nine hundred sixty-seven thousand, one hundred four".