108479006758080 has 1792 divisors, whose sum is σ = 464974243430400. Its totient is φ = 23256973393920.

The previous prime is 108479006758037. The next prime is 108479006758093. The reversal of 108479006758080 is 80857600974801.

108479006758080 is a `hidden beast` number, since 1 + 0 + 8 + 47 + 9 + 0 + 0 + 6 + 7 + 580 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 108479006757999 and 108479006758017.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 51387496225 + ... + 51387498335.

Almost surely, 2^{108479006758080} is an apocalyptic number.

108479006758080 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 108479006758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232487121715200).

108479006758080 is an abundant number, since it is smaller than the sum of its proper divisors (356495236672320).

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

108479006758080 is a wasteful number, since it uses less digits than its factorization.

108479006758080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 108479006758080 in words is "one hundred eight trillion, four hundred seventy-nine billion, six million, seven hundred fifty-eight thousand, eighty".