10079544960000 has 1320 divisors, whose sum is σ = 38343644481120. Its totient is φ = 2614763520000.

The previous prime is 10079544959977. The next prime is 10079544960007. The reversal of 10079544960000 is 6944597001.

10079544960000 is a `hidden beast` number, since 10 + 0 + 7 + 9 + 544 + 96 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10079544960000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10079544960007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 29047679827 + ... + 29047680173.

It is an arithmetic number, because the mean of its divisors is an integer number (29048215516).

Almost surely, 2^{10079544960000} is an apocalyptic number.

10079544960000 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 10079544960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171822240560).

10079544960000 is an abundant number, since it is smaller than the sum of its proper divisors (28264099521120).

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

10079544960000 is an frugal number, since it uses more digits than its factorization.

10079544960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10079544960000 in words is "ten trillion, seventy-nine billion, five hundred forty-four million, nine hundred sixty thousand".