5166946713600 has 1728 divisors, whose sum is σ = 22176710599680. Its totient is φ = 1169550213120.

The previous prime is 5166946713571. The next prime is 5166946713601. The reversal of 5166946713600 is 63176496615.

It is a happy number.

5166946713600 is a `hidden beast` number, since 5 + 16 + 6 + 9 + 4 + 6 + 7 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5166946713601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50164531149 + ... + 50164531251.

It is an arithmetic number, because the mean of its divisors is an integer number (12833744560).

Almost surely, 2^{5166946713600} is an apocalyptic number.

5166946713600 is a gapful number since it is divisible by the number (50) 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 5166946713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11088355299840).

5166946713600 is an abundant number, since it is smaller than the sum of its proper divisors (17009763886080).

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

5166946713600 is an frugal number, since it uses more digits than its factorization.

5166946713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 120 counting only the distinct ones).

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

The spelling of 5166946713600 in words is "five trillion, one hundred sixty-six billion, nine hundred forty-six million, seven hundred thirteen thousand, six hundred".