5165578946304 has 1152 divisors, whose sum is σ = 18546830848000. Its totient is φ = 1434015830016.

The previous prime is 5165578946249. The next prime is 5165578946327. The reversal of 5165578946304 is 4036498755615.

It is a happy number.

5165578946304 is a `hidden beast` number, since 5 + 1 + 6 + 557 + 8 + 9 + 46 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 7105335189 + ... + 7105335915.

Almost surely, 2^{5165578946304} is an apocalyptic number.

5165578946304 is a gapful number since it is divisible by the number (54) 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 5165578946304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9273415424000).

5165578946304 is an abundant number, since it is smaller than the sum of its proper divisors (13381251901696).

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

5165578946304 is an frugal number, since it uses more digits than its factorization.

5165578946304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 5165578946304 in words is "five trillion, one hundred sixty-five billion, five hundred seventy-eight million, nine hundred forty-six thousand, three hundred four".