48528374400 has 384 divisors, whose sum is σ = 193749652800. Its totient is φ = 11764224000.

The previous prime is 48528374357. The next prime is 48528374441. The reversal of 48528374400 is 447382584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 924870 + ... + 975930.

Almost surely, 2^48528374400 is an apocalyptic number.

48528374400 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 48528374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96874826400).

48528374400 is an abundant number, since it is smaller than the sum of its proper divisors (145221278400).

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

48528374400 is a wasteful number, since it uses less digits than its factorization.

48528374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51105 (or 51082 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 48528374400 in words is "forty-eight billion, five hundred twenty-eight million, three hundred seventy-four thousand, four hundred".