5166656409600 has 3120 divisors, whose sum is σ = 23572774317312. Its totient is φ = 1093109022720.

The previous prime is 5166656409533. The next prime is 5166656409617. The reversal of 5166656409600 is 69046566615.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 70776115164 + ... + 70776115236.

Almost surely, 2^{5166656409600} is an apocalyptic number.

5166656409600 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 5166656409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11786387158656).

5166656409600 is an abundant number, since it is smaller than the sum of its proper divisors (18406117907712).

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

5166656409600 is a wasteful number, since it uses less digits than its factorization.

5166656409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 5166656409600 in words is "five trillion, one hundred sixty-six billion, six hundred fifty-six million, four hundred nine thousand, six hundred".