5163324566400 has 3072 divisors, whose sum is σ = 25579962777600. Its totient is φ = 982256025600.

The previous prime is 5163324566399. The next prime is 5163324566429. The reversal of 5163324566400 is 46654233615.

5163324566400 is a `hidden beast` number, since 5 + 1 + 63 + 3 + 24 + 566 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 383 ways as a sum of consecutive naturals, for example, 19632412669 + ... + 19632412931.

It is an arithmetic number, because the mean of its divisors is an integer number (8326810800).

Almost surely, 2^{5163324566400} is an apocalyptic number.

5163324566400 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 5163324566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789981388800).

5163324566400 is an abundant number, since it is smaller than the sum of its proper divisors (20416638211200).

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

5163324566400 is a wasteful number, since it uses less digits than its factorization.

5163324566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 5163324566400 in words is "five trillion, one hundred sixty-three billion, three hundred twenty-four million, five hundred sixty-six thousand, four hundred".