48106625760 has 240 divisors, whose sum is σ = 170419788000. Its totient is φ = 12779817984.

The previous prime is 48106625719. The next prime is 48106625771. The reversal of 48106625760 is 6752660184.

48106625760 is a `hidden beast` number, since 4 + 8 + 10 + 6 + 62 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×48106625760³ (a number of 33 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3479341 + ... + 3493139.

It is an arithmetic number, because the mean of its divisors is an integer number (710082450).

Almost surely, 2^48106625760 is an apocalyptic number.

48106625760 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 48106625760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85209894000).

48106625760 is an abundant number, since it is smaller than the sum of its proper divisors (122313162240).

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

48106625760 is a wasteful number, since it uses less digits than its factorization.

48106625760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14095 (or 14078 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 48106625760 in words is "forty-eight billion, one hundred six million, six hundred twenty-five thousand, seven hundred sixty".