1093376725632 has 192 divisors, whose sum is σ = 3195113688000. Its totient is φ = 358819614720.

The previous prime is 1093376725603. The next prime is 1093376725633. The reversal of 1093376725632 is 2365276733901.

1093376725632 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 3 + 7 + 6 + 72 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1093376725633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60435244 + ... + 60453332.

It is an arithmetic number, because the mean of its divisors is an integer number (16641217125).

Almost surely, 2^{1093376725632} is an apocalyptic number.

1093376725632 is a gapful number since it is divisible by the number (12) 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 1093376725632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597556844000).

1093376725632 is an abundant number, since it is smaller than the sum of its proper divisors (2101736962368).

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

1093376725632 is a wasteful number, since it uses less digits than its factorization.

1093376725632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18919 (or 18904 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 1093376725632 in words is "one trillion, ninety-three billion, three hundred seventy-six million, seven hundred twenty-five thousand, six hundred thirty-two".