48525164371200 has 432 divisors, whose sum is σ = 184978199762496. Its totient is φ = 11071694438400.

The previous prime is 48525164371181. The next prime is 48525164371267. The reversal of 48525164371200 is 217346152584.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48525164371200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3167227 + ... + 10348026.

It is an arithmetic number, because the mean of its divisors is an integer number (428190277228).

Almost surely, 2^{48525164371200} is an apocalyptic number.

48525164371200 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 48525164371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92489099881248).

48525164371200 is an abundant number, since it is smaller than the sum of its proper divisors (136453035391296).

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

48525164371200 is a wasteful number, since it uses less digits than its factorization.

48525164371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13515310 (or 13515291 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 48525164371200 in words is "forty-eight trillion, five hundred twenty-five billion, one hundred sixty-four million, three hundred seventy-one thousand, two hundred".