48672623815200 has 3456 divisors, whose sum is σ = 226029533184000. Its totient is φ = 9562779648000.

The previous prime is 48672623815199. The next prime is 48672623815289. The reversal of 48672623815200 is 251832627684.

48672623815200 is a `hidden beast` number, since 4 + 8 + 6 + 7 + 2 + 623 + 8 + 1 + 5 + 2 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 212544208686 + ... + 212544208914.

It is an arithmetic number, because the mean of its divisors is an integer number (65402064000).

Almost surely, 2^{48672623815200} is an apocalyptic number.

48672623815200 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 48672623815200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113014766592000).

48672623815200 is an abundant number, since it is smaller than the sum of its proper divisors (177356909368800).

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

48672623815200 is a wasteful number, since it uses less digits than its factorization.

48672623815200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 48672623815200 in words is "forty-eight trillion, six hundred seventy-two billion, six hundred twenty-three million, eight hundred fifteen thousand, two hundred".