48465628508160 has 832 divisors, whose sum is σ = 176956550184960. Its totient is φ = 12578079375360.

The previous prime is 48465628508039. The next prime is 48465628508239. The reversal of 48465628508160 is 6180582656484.

48465628508160 is a `hidden beast` number, since 4 + 8 + 4 + 6 + 5 + 62 + 8 + 508 + 1 + 60 = 666.

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, 4704025569 + ... + 4704035871.

It is an arithmetic number, because the mean of its divisors is an integer number (212688161280).

Almost surely, 2^{48465628508160} is an apocalyptic number.

48465628508160 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 48465628508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88478275092480).

48465628508160 is an abundant number, since it is smaller than the sum of its proper divisors (128490921676800).

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

48465628508160 is a wasteful number, since it uses less digits than its factorization.

48465628508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10569 (or 10541 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 48465628508160 in words is "forty-eight trillion, four hundred sixty-five billion, six hundred twenty-eight million, five hundred eight thousand, one hundred sixty".