48725555552784 has 240 divisors, whose sum is σ = 155370676443840. Its totient is φ = 14122760279040.

The previous prime is 48725555552783. The next prime is 48725555552809.

48725555552784 is a `hidden beast` number, since 4 + 8 + 7 + 255 + 55 + 55 + 278 + 4 = 666.

48725555552784 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (48725555552783) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3587727 + ... + 10503470.

It is an arithmetic number, because the mean of its divisors is an integer number (647377818516).

Almost surely, 2^{48725555552784} is an apocalyptic number.

48725555552784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48725555552784 is an abundant number, since it is smaller than the sum of its proper divisors (106645120891056).

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

48725555552784 is a wasteful number, since it uses less digits than its factorization.

48725555552784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14091318 (or 14091309 counting only the distinct ones).

The product of its digits is 3136000000, while the sum is 72.

The spelling of 48725555552784 in words is "forty-eight trillion, seven hundred twenty-five billion, five hundred fifty-five million, five hundred fifty-two thousand, seven hundred eighty-four".