1125684710640 has 960 divisors, whose sum is σ = 4701741033600. Its totient is φ = 246521511936.

The previous prime is 1125684710629. The next prime is 1125684710659. The reversal of 1125684710640 is 460174865211.

1125684710640 is a `hidden beast` number, since 1 + 1 + 2 + 568 + 47 + 1 + 0 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 420500982 + ... + 420503658.

It is an arithmetic number, because the mean of its divisors is an integer number (4897646910).

Almost surely, 2^{1125684710640} is an apocalyptic number.

1125684710640 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 1125684710640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350870516800).

1125684710640 is an abundant number, since it is smaller than the sum of its proper divisors (3576056322960).

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

1125684710640 is a wasteful number, since it uses less digits than its factorization.

1125684710640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1125684710640 in words is "one trillion, one hundred twenty-five billion, six hundred eighty-four million, seven hundred ten thousand, six hundred forty".