1127964268860 has 384 divisors, whose sum is σ = 3821094273024. Its totient is φ = 244922019840.

The previous prime is 1127964268817. The next prime is 1127964268883. The reversal of 1127964268860 is 688624697211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1127964268794 and 1127964268803.

It is a congruent number.

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, 121582542 + ... + 121591818.

It is an arithmetic number, because the mean of its divisors is an integer number (9950766336).

Almost surely, 2^{1127964268860} is an apocalyptic number.

1127964268860 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 1127964268860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910547136512).

1127964268860 is an abundant number, since it is smaller than the sum of its proper divisors (2693130004164).

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

1127964268860 is a wasteful number, since it uses less digits than its factorization.

1127964268860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9733 (or 9731 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 1127964268860 in words is "one trillion, one hundred twenty-seven billion, nine hundred sixty-four million, two hundred sixty-eight thousand, eight hundred sixty".