48316907520 has 768 divisors, whose sum is σ = 198907637760. Its totient is φ = 10616832000.

The previous prime is 48316907497. The next prime is 48316907539. The reversal of 48316907520 is 2570961384.

48316907520 is a `hidden beast` number, since 4 + 8 + 31 + 6 + 90 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319979445 + ... + 319979595.

It is an arithmetic number, because the mean of its divisors is an integer number (258994320).

It is a 1-persistent number, because it is pandigital, but 2⋅48316907520 = 96633815040 is not.

Almost surely, 2^48316907520 is an apocalyptic number.

48316907520 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 48316907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99453818880).

48316907520 is an abundant number, since it is smaller than the sum of its proper divisors (150590730240).

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

48316907520 is a wasteful number, since it uses less digits than its factorization.

48316907520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 48316907520 in words is "forty-eight billion, three hundred sixteen million, nine hundred seven thousand, five hundred twenty".