1127680445892 has 384 divisors, whose sum is σ = 3903343976448. Its totient is φ = 243403776000.

The previous prime is 1127680445867. The next prime is 1127680445917. The reversal of 1127680445892 is 2985440867211.

It is an interprime number because it is at equal distance from previous prime (1127680445867) and next prime (1127680445917).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4576642 + ... + 4816742.

It is an arithmetic number, because the mean of its divisors is an integer number (10164958272).

Almost surely, 2^{1127680445892} is an apocalyptic number.

1127680445892 is a gapful number since it is divisible by the number (12) 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 1127680445892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951671988224).

1127680445892 is an abundant number, since it is smaller than the sum of its proper divisors (2775663530556).

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

1127680445892 is a wasteful number, since it uses less digits than its factorization.

1127680445892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240179 (or 240177 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 1127680445892 in words is "one trillion, one hundred twenty-seven billion, six hundred eighty million, four hundred forty-five thousand, eight hundred ninety-two".