1125835757280 has 768 divisors, whose sum is σ = 4412689747200. Its totient is φ = 269598523392.

The previous prime is 1125835757261. The next prime is 1125835757281. The reversal of 1125835757280 is 827575385211.

It is a happy number.

1125835757280 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 8 + 357 + 5 + 7 + 280 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125835757281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168308176 + ... + 168314864.

It is an arithmetic number, because the mean of its divisors is an integer number (5745689775).

Almost surely, 2^{1125835757280} is an apocalyptic number.

1125835757280 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 1125835757280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206344873600).

1125835757280 is an abundant number, since it is smaller than the sum of its proper divisors (3286853989920).

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

1125835757280 is an equidigital number, since it uses as much as digits as its factorization.

1125835757280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6775 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 1125835757280 in words is "one trillion, one hundred twenty-five billion, eight hundred thirty-five million, seven hundred fifty-seven thousand, two hundred eighty".