48170260022400 has 576 divisors, whose sum is σ = 182103648671880. Its totient is φ = 12082458132480.

The previous prime is 48170260022279. The next prime is 48170260022419. The reversal of 48170260022400 is 422006207184.

48170260022400 is a `hidden beast` number, since 4 + 8 + 1 + 7 + 0 + 2 + 600 + 2 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 14644214554176 + 33526045468224 = 3826776^2 + 5790168^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 830822212 + ... + 830880188.

Almost surely, 2^{48170260022400} is an apocalyptic number.

48170260022400 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 48170260022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91051824335940).

48170260022400 is an abundant number, since it is smaller than the sum of its proper divisors (133933388649480).

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

48170260022400 is a wasteful number, since it uses less digits than its factorization.

48170260022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59721 (or 59701 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 48170260022400 its reverse (422006207184), we get a palindrome (48592266229584).

The spelling of 48170260022400 in words is "forty-eight trillion, one hundred seventy billion, two hundred sixty million, twenty-two thousand, four hundred".