48609135244800 has 4320 divisors, whose sum is σ = 213612597918720. Its totient is φ = 10900035993600.

The previous prime is 48609135244771. The next prime is 48609135244897. The reversal of 48609135244800 is 844253190684.

48609135244800 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 9 + 135 + 24 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 431 ways as a sum of consecutive naturals, for example, 309612326322 + ... + 309612326478.

Almost surely, 2^{48609135244800} is an apocalyptic number.

48609135244800 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 48609135244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106806298959360).

48609135244800 is an abundant number, since it is smaller than the sum of its proper divisors (165003462673920).

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

48609135244800 is a wasteful number, since it uses less digits than its factorization.

48609135244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 48609135244800 in words is "forty-eight trillion, six hundred nine billion, one hundred thirty-five million, two hundred forty-four thousand, eight hundred".