5487148800 has 648 divisors, whose sum is σ = 23196293120. Its totient is φ = 1210982400.

The previous prime is 5487148787. The next prime is 5487148817. The reversal of 5487148800 is 88417845.

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 71 ways as a sum of consecutive naturals, for example, 12498981 + ... + 12499419.

Almost surely, 2^5487148800 is an apocalyptic number.

5487148800 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 5487148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11598146560).

5487148800 is an abundant number, since it is smaller than the sum of its proper divisors (17709144320).

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

5487148800 is a wasteful number, since it uses less digits than its factorization.

5487148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 5487148800 is about 74075.2914270339. The cubic root of 5487148800 is about 1763.7982708521.

The spelling of 5487148800 in words is "five billion, four hundred eighty-seven million, one hundred forty-eight thousand, eight hundred".