5165717004400 has 60 divisors (see below), whose sum is σ = 12810978201664. Its totient is φ = 1999632384000.

The previous prime is 5165717004389. The next prime is 5165717004419. The reversal of 5165717004400 is 44007175615.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 208282641 + ... + 208307440.

Almost surely, 2^{5165717004400} is an apocalyptic number.

5165717004400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5165717004400 is an abundant number, since it is smaller than the sum of its proper divisors (7645261197264).

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

5165717004400 is a wasteful number, since it uses less digits than its factorization.

5165717004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416590130 (or 416590119 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 5165717004400 in words is "five trillion, one hundred sixty-five billion, seven hundred seventeen million, four thousand, four hundred".