10780370475840 has 1008 divisors, whose sum is σ = 44131829114880. Its totient is φ = 2365949214720.

The previous prime is 10780370475803. The next prime is 10780370475899. The reversal of 10780370475840 is 4857407308701.

10780370475840 is a `hidden beast` number, since 10 + 7 + 8 + 0 + 3 + 7 + 0 + 47 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3238319296 + ... + 3238322624.

Almost surely, 2^{10780370475840} is an apocalyptic number.

10780370475840 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 10780370475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22065914557440).

10780370475840 is an abundant number, since it is smaller than the sum of its proper divisors (33351458639040).

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

10780370475840 is a wasteful number, since it uses less digits than its factorization.

10780370475840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 10780370475840 in words is "ten trillion, seven hundred eighty billion, three hundred seventy million, four hundred seventy-five thousand, eight hundred forty".