1080507003840 has 2352 divisors, whose sum is σ = 4712875536384. Its totient is φ = 233503948800.

The previous prime is 1080507003757. The next prime is 1080507003841. The reversal of 1080507003840 is 483007050801.

1080507003840 is a `hidden beast` number, since 1 + 0 + 80 + 507 + 0 + 0 + 38 + 40 = 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 = 1080507003795 and 1080507003804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1080507003841) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 22989510697 + ... + 22989510743.

Almost surely, 2^{1080507003840} is an apocalyptic number.

1080507003840 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 1080507003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356437768192).

1080507003840 is an abundant number, since it is smaller than the sum of its proper divisors (3632368532544).

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

1080507003840 is a wasteful number, since it uses less digits than its factorization.

1080507003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1080507003840 in words is "one trillion, eighty billion, five hundred seven million, three thousand, eight hundred forty".