5425898400 has 864 divisors, whose sum is σ = 22691672640. Its totient is φ = 1254113280.

The previous prime is 5425898393. The next prime is 5425898431. The reversal of 5425898400 is 48985245.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48016744 + ... + 48016856.

It is an arithmetic number, because the mean of its divisors is an integer number (26263510).

Almost surely, 2^5425898400 is an apocalyptic number.

5425898400 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 5425898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11345836320).

5425898400 is an abundant number, since it is smaller than the sum of its proper divisors (17265774240).

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

5425898400 is a wasteful number, since it uses less digits than its factorization.

5425898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5425898400 is about 73660.6977974008. The cubic root of 5425898400 is about 1757.2108888421.

The spelling of 5425898400 in words is "five billion, four hundred twenty-five million, eight hundred ninety-eight thousand, four hundred".