10078083607680 has 640 divisors, whose sum is σ = 40969654070400. Its totient is φ = 2336943882240.

The previous prime is 10078083607673. The next prime is 10078083607681. The reversal of 10078083607680 is 8670638087001.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (10078083607681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12731316 + ... + 13499724.

It is an arithmetic number, because the mean of its divisors is an integer number (64015084485).

Almost surely, 2^{10078083607680} is an apocalyptic number.

10078083607680 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 10078083607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20484827035200).

10078083607680 is an abundant number, since it is smaller than the sum of its proper divisors (30891570462720).

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

10078083607680 is a wasteful number, since it uses less digits than its factorization.

10078083607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768474 (or 768453 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 10078083607680 in words is "ten trillion, seventy-eight billion, eighty-three million, six hundred seven thousand, six hundred eighty".