48121589376 has 384 divisors, whose sum is σ = 173785772160. Its totient is φ = 12939264000.

The previous prime is 48121589371. The next prime is 48121589407. The reversal of 48121589376 is 67398512184.

48121589376 is a `hidden beast` number, since 4 + 8 + 1 + 21 + 589 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48121589371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3694876 + ... + 3707876.

It is an arithmetic number, because the mean of its divisors is an integer number (452567115).

Almost surely, 2^48121589376 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 48121589376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86892886080).

48121589376 is an abundant number, since it is smaller than the sum of its proper divisors (125664182784).

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

48121589376 is a wasteful number, since it uses less digits than its factorization.

48121589376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13054 (or 13030 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 48121589376 in words is "forty-eight billion, one hundred twenty-one million, five hundred eighty-nine thousand, three hundred seventy-six".