48572784000 has 1152 divisors, whose sum is σ = 201299847840. Its totient is φ = 11570688000.

The previous prime is 48572783989. The next prime is 48572784037. The reversal of 48572784000 is 48727584.

48572784000 is a `hidden beast` number, since 4 + 8 + 572 + 78 + 4 + 0 + 0 + 0 = 666.

48572784000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 1566863985 + ... + 1566864015.

Almost surely, 2^48572784000 is an apocalyptic number.

48572784000 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 48572784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100649923920).

48572784000 is an abundant number, since it is smaller than the sum of its proper divisors (152727063840).

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

48572784000 is an equidigital number, since it uses as much as digits as its factorization.

48572784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 48572784000 in words is "forty-eight billion, five hundred seventy-two million, seven hundred eighty-four thousand".