104038711096320 has 5632 divisors, whose sum is σ = 520617826713600. Its totient is φ = 19005190963200.

The previous prime is 104038711096319. The next prime is 104038711096321. The reversal of 104038711096320 is 23690117830401.

104038711096320 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 3 + 8 + 7 + 1 + 1 + 0 + 9 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104038711096319) and next prime (104038711096321).

It is a tau number, because it is divible by the number of its divisors (5632).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104038711096321) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 338888309607 + ... + 338888309913.

It is an arithmetic number, because the mean of its divisors is an integer number (92439244800).

Almost surely, 2^{104038711096320} is an apocalyptic number.

104038711096320 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 104038711096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260308913356800).

104038711096320 is an abundant number, since it is smaller than the sum of its proper divisors (416579115617280).

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

104038711096320 is a wasteful number, since it uses less digits than its factorization.

104038711096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 104038711096320 in words is "one hundred four trillion, thirty-eight billion, seven hundred eleven million, ninety-six thousand, three hundred twenty".