5178381062400 has 2160 divisors, whose sum is σ = 24332376183808. Its totient is φ = 1057038336000.

The previous prime is 5178381062377. The next prime is 5178381062401. The reversal of 5178381062400 is 42601838715.

5178381062400 is a `hidden beast` number, since 5 + 1 + 7 + 8 + 3 + 8 + 10 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-5 number, since 5×5178381062400⁵ (a number of 65 digits) contains 55555 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5178381062401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1462404630 + ... + 1462408170.

Almost surely, 2^{5178381062400} is an apocalyptic number.

5178381062400 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 5178381062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12166188091904).

5178381062400 is an abundant number, since it is smaller than the sum of its proper divisors (19153995121408).

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

5178381062400 is a wasteful number, since it uses less digits than its factorization.

5178381062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 5178381062400 in words is "five trillion, one hundred seventy-eight billion, three hundred eighty-one million, sixty-two thousand, four hundred".