48557901600 has 1152 divisors, whose sum is σ = 200799648000. Its totient is φ = 11240570880.

The previous prime is 48557901577. The next prime is 48557901607. The reversal of 48557901600 is 610975584.

48557901600 is a `hidden beast` number, since 4 + 8 + 557 + 90 + 1 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48557901607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 545594356 + ... + 545594444.

It is an arithmetic number, because the mean of its divisors is an integer number (174305250).

Almost surely, 2^48557901600 is an apocalyptic number.

48557901600 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 48557901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100399824000).

48557901600 is an abundant number, since it is smaller than the sum of its proper divisors (152241746400).

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

48557901600 is a wasteful number, since it uses less digits than its factorization.

48557901600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 48557901600 in words is "forty-eight billion, five hundred fifty-seven million, nine hundred one thousand, six hundred".