48587452800 has 288 divisors, whose sum is σ = 164521579320. Its totient is φ = 12603064320.

The previous prime is 48587452787. The next prime is 48587452813. The reversal of 48587452800 is 825478584.

It is an interprime number because it is at equal distance from previous prime (48587452787) and next prime (48587452813).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13140552 + ... + 13144248.

Almost surely, 2^48587452800 is an apocalyptic number.

48587452800 is a gapful number since it is divisible by the number (40) 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 48587452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82260789660).

48587452800 is an abundant number, since it is smaller than the sum of its proper divisors (115934126520).

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

48587452800 is a wasteful number, since it uses less digits than its factorization.

48587452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 51.

The spelling of 48587452800 in words is "forty-eight billion, five hundred eighty-seven million, four hundred fifty-two thousand, eight hundred".