10798408084320 has 768 divisors, whose sum is σ = 38677724467200. Its totient is φ = 2813327769600.

The previous prime is 10798408084307. The next prime is 10798408084327. The reversal of 10798408084320 is 2348080489701.

It is a happy number.

10798408084320 is a `hidden beast` number, since 1 + 0 + 7 + 98 + 40 + 80 + 8 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10798408084327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11623689616 + ... + 11623690544.

It is an arithmetic number, because the mean of its divisors is an integer number (50361620400).

Almost surely, 2^{10798408084320} is an apocalyptic number.

10798408084320 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 10798408084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19338862233600).

10798408084320 is an abundant number, since it is smaller than the sum of its proper divisors (27879316382880).

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

10798408084320 is a wasteful number, since it uses less digits than its factorization.

10798408084320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 10798408084320 in words is "ten trillion, seven hundred ninety-eight billion, four hundred eight million, eighty-four thousand, three hundred twenty".