10079954433360 has 640 divisors, whose sum is σ = 42125189529600. Its totient is φ = 2162718351360.

The previous prime is 10079954433359. The next prime is 10079954433383. The reversal of 10079954433360 is 6333445997001.

10079954433360 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 9 + 9 + 544 + 3 + 33 + 60 = 666.

It is a super-2 number, since 2×10079954433360² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10079954433297 and 10079954433306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97366425 + ... + 97469895.

It is an arithmetic number, because the mean of its divisors is an integer number (65820608640).

Almost surely, 2^{10079954433360} is an apocalyptic number.

10079954433360 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 10079954433360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062594764800).

10079954433360 is an abundant number, since it is smaller than the sum of its proper divisors (32045235096240).

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

10079954433360 is a wasteful number, since it uses less digits than its factorization.

10079954433360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103896 (or 103884 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 10079954433360 in words is "ten trillion, seventy-nine billion, nine hundred fifty-four million, four hundred thirty-three thousand, three hundred sixty".