10391280078960 has 1080 divisors, whose sum is σ = 40791793376880. Its totient is φ = 2368348139520.

The previous prime is 10391280078919. The next prime is 10391280079031. The reversal of 10391280078960 is 6987008219301.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10391280078897 and 10391280078906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4371593292 + ... + 4371595668.

Almost surely, 2^{10391280078960} is an apocalyptic number.

10391280078960 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 10391280078960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20395896688440).

10391280078960 is an abundant number, since it is smaller than the sum of its proper divisors (30400513297920).

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

10391280078960 is a wasteful number, since it uses less digits than its factorization.

10391280078960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 10391280078960 in words is "ten trillion, three hundred ninety-one billion, two hundred eighty million, seventy-eight thousand, nine hundred sixty".