5494658400 has 1296 divisors, whose sum is σ = 26257506912. Its totient is φ = 1054310400.

The previous prime is 5494658381. The next prime is 5494658413. The reversal of 5494658400 is 48564945.

5494658400 is a `hidden beast` number, since 549 + 4 + 65 + 8 + 40 + 0 = 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 215 ways as a sum of consecutive naturals, for example, 103672774 + ... + 103672826.

It is an arithmetic number, because the mean of its divisors is an integer number (20260422).

Almost surely, 2^5494658400 is an apocalyptic number.

5494658400 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 5494658400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13128753456).

5494658400 is an abundant number, since it is smaller than the sum of its proper divisors (20762848512).

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

5494658400 is a wasteful number, since it uses less digits than its factorization.

5494658400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

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

The square root of 5494658400 is about 74125.9630628837. The cubic root of 5494658400 is about 1764.6025368499.

The spelling of 5494658400 in words is "five billion, four hundred ninety-four million, six hundred fifty-eight thousand, four hundred".