5148532166400 has 648 divisors, whose sum is σ = 21253794677024. Its totient is φ = 1164666470400.

The previous prime is 5148532166353. The next prime is 5148532166417. The reversal of 5148532166400 is 46612358415.

5148532166400 is a `hidden beast` number, since 5 + 1 + 4 + 85 + 3 + 2 + 166 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39044580 + ... + 39176220.

Almost surely, 2^{5148532166400} is an apocalyptic number.

5148532166400 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 5148532166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10626897338512).

5148532166400 is an abundant number, since it is smaller than the sum of its proper divisors (16105262510624).

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

5148532166400 is a wasteful number, since it uses less digits than its factorization.

5148532166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131777 (or 131755 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5148532166400 in words is "five trillion, one hundred forty-eight billion, five hundred thirty-two million, one hundred sixty-six thousand, four hundred".