48420171072 has 252 divisors, whose sum is σ = 171756567840. Its totient is φ = 12769975296.

The previous prime is 48420171053. The next prime is 48420171091. The reversal of 48420171072 is 27017102484.

48420171072 is a `hidden beast` number, since 484 + 2 + 0 + 171 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (48420171053) and next prime (48420171091).

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 645879 + ... + 716937.

Almost surely, 2^48420171072 is an apocalyptic number.

48420171072 is a gapful number since it is divisible by the number (42) 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 48420171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85878283920).

48420171072 is an abundant number, since it is smaller than the sum of its proper divisors (123336396768).

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

48420171072 is a wasteful number, since it uses less digits than its factorization.

48420171072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71110 (or 71084 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 48420171072 in words is "forty-eight billion, four hundred twenty million, one hundred seventy-one thousand, seventy-two".