104072596039680 has 384 divisors, whose sum is σ = 350530959542400. Its totient is φ = 26287806873600.

The previous prime is 104072596039519. The next prime is 104072596039771. The reversal of 104072596039680 is 86930695270401.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×104072596039680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5358756370 + ... + 5358775790.

It is an arithmetic number, because the mean of its divisors is an integer number (912841040475).

It is a 2-persistent number, because it is pandigital, and so is 2⋅104072596039680 = 208145192079360, but 3⋅104072596039680 = 312217788119040 is not.

Almost surely, 2^{104072596039680} is an apocalyptic number.

104072596039680 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 104072596039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175265479771200).

104072596039680 is an abundant number, since it is smaller than the sum of its proper divisors (246458363502720).

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

104072596039680 is a wasteful number, since it uses less digits than its factorization.

104072596039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28651 (or 28631 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 104072596039680 in words is "one hundred four trillion, seventy-two billion, five hundred ninety-six million, thirty-nine thousand, six hundred eighty".