1088785938240 has 2688 divisors, whose sum is σ = 5369544069120. Its totient is φ = 200558592000.

The previous prime is 1088785938221. The next prime is 1088785938277. The reversal of 1088785938240 is 428395878801.

1088785938240 is a `hidden beast` number, since 10 + 8 + 8 + 7 + 8 + 593 + 8 + 24 + 0 = 666.

1088785938240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8311342975 + ... + 8311343105.

It is an arithmetic number, because the mean of its divisors is an integer number (1997598240).

Almost surely, 2^{1088785938240} is an apocalyptic number.

1088785938240 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 1088785938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684772034560).

1088785938240 is an abundant number, since it is smaller than the sum of its proper divisors (4280758130880).

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

1088785938240 is a wasteful number, since it uses less digits than its factorization.

1088785938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 1088785938240 in words is "one trillion, eighty-eight billion, seven hundred eighty-five million, nine hundred thirty-eight thousand, two hundred forty".