1125645020640 has 576 divisors, whose sum is σ = 4593941593920. Its totient is φ = 256675184640.

The previous prime is 1125645020639. The next prime is 1125645020659. The reversal of 1125645020640 is 460205465211.

1125645020640 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 6 + 4 + 5 + 0 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1125645020595 and 1125645020604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91651300 + ... + 91663580.

It is an arithmetic number, because the mean of its divisors is an integer number (7975593045).

Almost surely, 2^{1125645020640} is an apocalyptic number.

1125645020640 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 1125645020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296970796960).

1125645020640 is an abundant number, since it is smaller than the sum of its proper divisors (3468296573280).

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

1125645020640 is a wasteful number, since it uses less digits than its factorization.

1125645020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12752 (or 12731 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1125645020640 in words is "one trillion, one hundred twenty-five billion, six hundred forty-five million, twenty thousand, six hundred forty".