48415108560000 has 3200 divisors, whose sum is σ = 211423228410240. Its totient is φ = 9736151040000.

The previous prime is 48415108559969. The next prime is 48415108560019. The reversal of 48415108560000 is 6580151484.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 172295759860 + ... + 172295760140.

Almost surely, 2^{48415108560000} is an apocalyptic number.

48415108560000 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 48415108560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105711614205120).

48415108560000 is an abundant number, since it is smaller than the sum of its proper divisors (163008119850240).

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

48415108560000 is an equidigital number, since it uses as much as digits as its factorization.

48415108560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 48415108560000 in words is "forty-eight trillion, four hundred fifteen billion, one hundred eight million, five hundred sixty thousand".