5466086400 has 264 divisors, whose sum is σ = 18267493504. Its totient is φ = 1441382400.

The previous prime is 5466086387. The next prime is 5466086401. The reversal of 5466086400 is 46806645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5466086401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7910055 + ... + 7910745.

Almost surely, 2^5466086400 is an apocalyptic number.

5466086400 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 5466086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9133746752).

5466086400 is an abundant number, since it is smaller than the sum of its proper divisors (12801407104).

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

5466086400 is a wasteful number, since it uses less digits than its factorization.

5466086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 5466086400 is about 73932.9858723425. The cubic root of 5466086400 is about 1761.5385994615.

The spelling of 5466086400 in words is "five billion, four hundred sixty-six million, eighty-six thousand, four hundred".