48128600217600 has 1728 divisors, whose sum is σ = 205385229504000. Its totient is φ = 10941600890880.

The previous prime is 48128600217587. The next prime is 48128600217611. The reversal of 48128600217600 is 671200682184.

48128600217600 is a `hidden beast` number, since 4 + 8 + 1 + 28 + 6 + 0 + 0 + 2 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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, 17331147412 + ... + 17331150188.

It is an arithmetic number, because the mean of its divisors is an integer number (118857193000).

Almost surely, 2^{48128600217600} is an apocalyptic number.

48128600217600 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 48128600217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102692614752000).

48128600217600 is an abundant number, since it is smaller than the sum of its proper divisors (157256629286400).

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

48128600217600 is a wasteful number, since it uses less digits than its factorization.

48128600217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

Adding to 48128600217600 its reverse (671200682184), we get a palindrome (48799800899784).

The spelling of 48128600217600 in words is "forty-eight trillion, one hundred twenty-eight billion, six hundred million, two hundred seventeen thousand, six hundred".