5455257600 has 336 divisors, whose sum is σ = 19453567392. Its totient is φ = 1340866560.

The previous prime is 5455257559. The next prime is 5455257601. The reversal of 5455257600 is 67525545.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5455257601) 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, 7986859 + ... + 7987541.

It is an arithmetic number, because the mean of its divisors is an integer number (57897522).

Almost surely, 2^5455257600 is an apocalyptic number.

5455257600 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 5455257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9726783696).

5455257600 is an abundant number, since it is smaller than the sum of its proper divisors (13998309792).

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

5455257600 is a wasteful number, since it uses less digits than its factorization.

5455257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 39.

The square root of 5455257600 is about 73859.7156777631. The cubic root of 5455257600 is about 1760.3745759218.

The spelling of 5455257600 in words is "five billion, four hundred fifty-five million, two hundred fifty-seven thousand, six hundred".