1125745435760 has 160 divisors (see below), whose sum is σ = 2923816435200. Its totient is φ = 399616588800.

The previous prime is 1125745435723. The next prime is 1125745435819. The reversal of 1125745435760 is 675345475211.

It is a super-2 number, since 2×1125745435760² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1125745435699 and 1125745435708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9220715 + ... + 9342005.

It is an arithmetic number, because the mean of its divisors is an integer number (18273852720).

Almost surely, 2^{1125745435760} is an apocalyptic number.

1125745435760 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 1125745435760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461908217600).

1125745435760 is an abundant number, since it is smaller than the sum of its proper divisors (1798070999440).

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

1125745435760 is a wasteful number, since it uses less digits than its factorization.

1125745435760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121567 (or 121561 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 50.

The spelling of 1125745435760 in words is "one trillion, one hundred twenty-five billion, seven hundred forty-five million, four hundred thirty-five thousand, seven hundred sixty".