48010075087104 has 1440 divisors, whose sum is σ = 170299154600960. Its totient is φ = 13318683033600.

The previous prime is 48010075087097. The next prime is 48010075087129. The reversal of 48010075087104 is 40178057001084.

48010075087104 is a `hidden beast` number, since 480 + 10 + 0 + 7 + 50 + 8 + 7 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 48010075087104.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9685306194 + ... + 9685311150.

Almost surely, 2^{48010075087104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48010075087104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85149577300480).

48010075087104 is an abundant number, since it is smaller than the sum of its proper divisors (122289079513856).

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

48010075087104 is a wasteful number, since it uses less digits than its factorization.

48010075087104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 48010075087104 in words is "forty-eight trillion, ten billion, seventy-five million, eighty-seven thousand, one hundred four".