48058611552 has 576 divisors, whose sum is σ = 176117760000. Its totient is φ = 12580323840.

The previous prime is 48058611493. The next prime is 48058611569. The reversal of 48058611552 is 25511685084.

48058611552 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 86 + 11 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48058611498 and 48058611507.

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, 32059699 + ... + 32061197.

It is an arithmetic number, because the mean of its divisors is an integer number (305760000).

Almost surely, 2^48058611552 is an apocalyptic number.

48058611552 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 48058611552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880000).

48058611552 is an abundant number, since it is smaller than the sum of its proper divisors (128059148448).

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

48058611552 is a wasteful number, since it uses less digits than its factorization.

48058611552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 48058611552 in words is "forty-eight billion, fifty-eight million, six hundred eleven thousand, five hundred fifty-two".