48128252781900 has 288 divisors, whose sum is σ = 143685666028800. Its totient is φ = 12428870446080.

The previous prime is 48128252781883. The next prime is 48128252781913. The reversal of 48128252781900 is 918725282184.

It is a super-2 number, since 2×48128252781900² (a number of 28 digits) contains 22 as substring.

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, 2180994667 + ... + 2181016733.

It is an arithmetic number, because the mean of its divisors is an integer number (498908562600).

Almost surely, 2^{48128252781900} 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 48128252781900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71842833014400).

48128252781900 is an abundant number, since it is smaller than the sum of its proper divisors (95557413246900).

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

48128252781900 is a wasteful number, since it uses less digits than its factorization.

48128252781900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23033 (or 23026 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 57.

The spelling of 48128252781900 in words is "forty-eight trillion, one hundred twenty-eight billion, two hundred fifty-two million, seven hundred eighty-one thousand, nine hundred".