5904697430016 has 2080 divisors, whose sum is σ = 23120637408000. Its totient is φ = 1487842836480.

The previous prime is 5904697429987. The next prime is 5904697430029. The reversal of 5904697430016 is 6100347964095.

5904697430016 is a `hidden beast` number, since 590 + 4 + 6 + 9 + 7 + 4 + 30 + 0 + 16 = 666.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 66344914900 + ... + 66344914988.

Almost surely, 2^{5904697430016} is an apocalyptic number.

5904697430016 is a gapful number since it is divisible by the number (56) 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 5904697430016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11560318704000).

5904697430016 is an abundant number, since it is smaller than the sum of its proper divisors (17215939977984).

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

5904697430016 is an equidigital number, since it uses as much as digits as its factorization.

5904697430016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 5904697430016 in words is "five trillion, nine hundred four billion, six hundred ninety-seven million, four hundred thirty thousand, sixteen".