48481152739200 has 384 divisors, whose sum is σ = 177729999552000. Its totient is φ = 12906269521920.

The previous prime is 48481152739199. The next prime is 48481152739277. The reversal of 48481152739200 is 293725118484.

48481152739200 is a `hidden beast` number, since 4 + 8 + 4 + 81 + 1 + 527 + 39 + 2 + 0 + 0 = 666.

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 (54).

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, 50238841 + ... + 51194759.

It is an arithmetic number, because the mean of its divisors is an integer number (462838540500).

Almost surely, 2^{48481152739200} is an apocalyptic number.

48481152739200 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 48481152739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88864999776000).

48481152739200 is an abundant number, since it is smaller than the sum of its proper divisors (129248846812800).

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

48481152739200 is a wasteful number, since it uses less digits than its factorization.

48481152739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956539 (or 956516 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 48481152739200 in words is "forty-eight trillion, four hundred eighty-one billion, one hundred fifty-two million, seven hundred thirty-nine thousand, two hundred".