48578342400 has 720 divisors, whose sum is σ = 200897034624. Its totient is φ = 10980311040.

The previous prime is 48578342363. The next prime is 48578342419. The reversal of 48578342400 is 424387584.

It is a happy number.

48578342400 is a `hidden beast` number, since 4 + 8 + 578 + 34 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86284519 + ... + 86285081.

Almost surely, 2^48578342400 is an apocalyptic number.

48578342400 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 48578342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100448517312).

48578342400 is an abundant number, since it is smaller than the sum of its proper divisors (152318692224).

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

48578342400 is a wasteful number, since it uses less digits than its factorization.

48578342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 687 counting only the distinct ones).

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

The spelling of 48578342400 in words is "forty-eight billion, five hundred seventy-eight million, three hundred forty-two thousand, four hundred".