48004136273520 has 1080 divisors, whose sum is σ = 199669799712240. Its totient is φ = 10276947394560.

The previous prime is 48004136273437. The next prime is 48004136273531. The reversal of 48004136273520 is 2537263140084.

48004136273520 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 4 + 13 + 627 + 3 + 5 + 2 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 5309600200 + ... + 5309609240.

It is an arithmetic number, because the mean of its divisors is an integer number (184879444178).

Almost surely, 2^{48004136273520} is an apocalyptic number.

48004136273520 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 48004136273520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99834899856120).

48004136273520 is an abundant number, since it is smaller than the sum of its proper divisors (151665663438720).

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

48004136273520 is a wasteful number, since it uses less digits than its factorization.

48004136273520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9271 (or 9166 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 48004136273520 in words is "forty-eight trillion, four billion, one hundred thirty-six million, two hundred seventy-three thousand, five hundred twenty".