10780235004000 has 2304 divisors, whose sum is σ = 46213212165120. Its totient is φ = 2171473920000.

The previous prime is 10780235003983. The next prime is 10780235004041. The reversal of 10780235004000 is 40053208701.

10780235004000 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 (30).

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, 35114771847 + ... + 35114772153.

It is an arithmetic number, because the mean of its divisors is an integer number (20057817780).

Almost surely, 2^{10780235004000} is an apocalyptic number.

10780235004000 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 10780235004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23106606082560).

10780235004000 is an abundant number, since it is smaller than the sum of its proper divisors (35432977161120).

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

10780235004000 is a wasteful number, since it uses less digits than its factorization.

10780235004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 10780235004000 in words is "ten trillion, seven hundred eighty billion, two hundred thirty-five million, four thousand".