10079848396800 has 3456 divisors, whose sum is σ = 47819714342400. Its totient is φ = 2046712872960.

The previous prime is 10079848396789. The next prime is 10079848396847. The reversal of 10079848396800 is 869384897001.

10079848396800 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 98 + 483 + 9 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32833382247 + ... + 32833382553.

It is an arithmetic number, because the mean of its divisors is an integer number (13836722900).

Almost surely, 2^{10079848396800} is an apocalyptic number.

10079848396800 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 10079848396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23909857171200).

10079848396800 is an abundant number, since it is smaller than the sum of its proper divisors (37739865945600).

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

10079848396800 is a wasteful number, since it uses less digits than its factorization.

10079848396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 10079848396800 in words is "ten trillion, seventy-nine billion, eight hundred forty-eight million, three hundred ninety-six thousand, eight hundred".