1093930680240 has 800 divisors, whose sum is σ = 4104068126400. Its totient is φ = 269216317440.

The previous prime is 1093930680239. The next prime is 1093930680251. The reversal of 1093930680240 is 420860393901.

It is a happy number.

1093930680240 is a `hidden beast` number, since 10 + 9 + 393 + 0 + 6 + 8 + 0 + 240 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 848665516 + ... + 848666804.

It is an arithmetic number, because the mean of its divisors is an integer number (5130085158).

Almost surely, 2^{1093930680240} is an apocalyptic number.

1093930680240 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 1093930680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052034063200).

1093930680240 is an abundant number, since it is smaller than the sum of its proper divisors (3010137446160).

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

1093930680240 is a wasteful number, since it uses less digits than its factorization.

1093930680240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1093930680240 in words is "one trillion, ninety-three billion, nine hundred thirty million, six hundred eighty thousand, two hundred forty".