48302876160 has 960 divisors, whose sum is σ = 219695224320. Its totient is φ = 9502064640.

The previous prime is 48302876137. The next prime is 48302876197. The reversal of 48302876160 is 6167820384.

48302876160 is a `hidden beast` number, since 4 + 8 + 3 + 0 + 28 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 33706804 + ... + 33708236.

It is an arithmetic number, because the mean of its divisors is an integer number (228849192).

Almost surely, 2^48302876160 is an apocalyptic number.

48302876160 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 48302876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109847612160).

48302876160 is an abundant number, since it is smaller than the sum of its proper divisors (171392348160).

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

48302876160 is a wasteful number, since it uses less digits than its factorization.

48302876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 48302876160 in words is "forty-eight billion, three hundred two million, eight hundred seventy-six thousand, one hundred sixty".