48509415198720 has 3744 divisors, whose sum is σ = 218976427365120. Its totient is φ = 10263663083520.

The previous prime is 48509415198703. The next prime is 48509415198733. The reversal of 48509415198720 is 2789151490584.

48509415198720 is a `hidden beast` number, since 4 + 8 + 5 + 0 + 9 + 41 + 519 + 8 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1564819845105 + ... + 1564819845135.

Almost surely, 2^{48509415198720} is an apocalyptic number.

48509415198720 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 48509415198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109488213682560).

48509415198720 is an abundant number, since it is smaller than the sum of its proper divisors (170467012166400).

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

48509415198720 is an frugal number, since it uses more digits than its factorization.

48509415198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 48509415198720 in words is "forty-eight trillion, five hundred nine billion, four hundred fifteen million, one hundred ninety-eight thousand, seven hundred twenty".