48671952399360 has 704 divisors, whose sum is σ = 174542901657600. Its totient is φ = 12861516939264.

The previous prime is 48671952399331. The next prime is 48671952399377. The reversal of 48671952399360 is 6399325917684.

48671952399360 is a `hidden beast` number, since 4 + 8 + 6 + 7 + 1 + 9 + 523 + 9 + 93 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28248375459 + ... + 28248377181.

It is a 1-persistent number, because it is pandigital, but 2⋅48671952399360 = 97343904798720 is not.

Almost surely, 2^{48671952399360} is an apocalyptic number.

48671952399360 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 48671952399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87271450828800).

48671952399360 is an abundant number, since it is smaller than the sum of its proper divisors (125870949258240).

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

48671952399360 is a wasteful number, since it uses less digits than its factorization.

48671952399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 48671952399360 in words is "forty-eight trillion, six hundred seventy-one billion, nine hundred fifty-two million, three hundred ninety-nine thousand, three hundred sixty".