48951601171200 has 4536 divisors, whose sum is σ = 230666871271200. Its totient is φ = 10271187763200.

The previous prime is 48951601171189. The next prime is 48951601171223. The reversal of 48951601171200 is 217110615984.

48951601171200 is a `hidden beast` number, since 4 + 8 + 9 + 5 + 1 + 601 + 17 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 270450835110 + ... + 270450835290.

Almost surely, 2^{48951601171200} is an apocalyptic number.

48951601171200 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 48951601171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115333435635600).

48951601171200 is an abundant number, since it is smaller than the sum of its proper divisors (181715270100000).

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

48951601171200 is an equidigital number, since it uses as much as digits as its factorization.

48951601171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 48951601171200 in words is "forty-eight trillion, nine hundred fifty-one billion, six hundred one million, one hundred seventy-one thousand, two hundred".