48533357347200 has 2304 divisors, whose sum is σ = 206986402022400. Its totient is φ = 11105620992000.

The previous prime is 48533357347193. The next prime is 48533357347247. The reversal of 48533357347200 is 274375333584.

48533357347200 is a `hidden beast` number, since 4 + 8 + 5 + 3 + 3 + 3 + 573 + 47 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 84997122915 + ... + 84997123485.

It is an arithmetic number, because the mean of its divisors is an integer number (89837848100).

Almost surely, 2^{48533357347200} is an apocalyptic number.

48533357347200 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 48533357347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103493201011200).

48533357347200 is an abundant number, since it is smaller than the sum of its proper divisors (158453044675200).

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

48533357347200 is a wasteful number, since it uses less digits than its factorization.

48533357347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 48533357347200 in words is "forty-eight trillion, five hundred thirty-three billion, three hundred fifty-seven million, three hundred forty-seven thousand, two hundred".