48826874880 has 1056 divisors, whose sum is σ = 210912399360. Its totient is φ = 10192158720.

The previous prime is 48826874851. The next prime is 48826874893. The reversal of 48826874880 is 8847862884.

48826874880 is a `hidden beast` number, since 488 + 2 + 6 + 8 + 74 + 8 + 80 = 666.

48826874880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 189987712 + ... + 189987968.

Almost surely, 2^48826874880 is an apocalyptic number.

48826874880 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 48826874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105456199680).

48826874880 is an abundant number, since it is smaller than the sum of its proper divisors (162085524480).

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

48826874880 is a wasteful number, since it uses less digits than its factorization.

48826874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

The spelling of 48826874880 in words is "forty-eight billion, eight hundred twenty-six million, eight hundred seventy-four thousand, eight hundred eighty".