5466297830400 has 3168 divisors, whose sum is σ = 24267678769152. Its totient is φ = 1203948748800.

The previous prime is 5466297830369. The next prime is 5466297830443. The reversal of 5466297830400 is 40387926645.

5466297830400 is a `hidden beast` number, since 5 + 4 + 6 + 629 + 7 + 8 + 3 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 43041715137 + ... + 43041715263.

Almost surely, 2^{5466297830400} is an apocalyptic number.

5466297830400 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 5466297830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12133839384576).

5466297830400 is an abundant number, since it is smaller than the sum of its proper divisors (18801380938752).

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

5466297830400 is a wasteful number, since it uses less digits than its factorization.

5466297830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 5466297830400 in words is "five trillion, four hundred sixty-six billion, two hundred ninety-seven million, eight hundred thirty thousand, four hundred".