24878638080 has 440 divisors, whose sum is σ = 89880658560. Its totient is φ = 6580224000.

The previous prime is 24878638073. The next prime is 24878638121. The reversal of 24878638080 is 8083687842.

24878638080 is a `hidden beast` number, since 2 + 487 + 8 + 6 + 3 + 80 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99117955 + ... + 99118205.

It is an arithmetic number, because the mean of its divisors is an integer number (204274224).

Almost surely, 2^24878638080 is an apocalyptic number.

24878638080 is a gapful number since it is divisible by the number (20) 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 24878638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44940329280).

24878638080 is an abundant number, since it is smaller than the sum of its proper divisors (65002020480).

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

24878638080 is a wasteful number, since it uses less digits than its factorization.

24878638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 24878638080 in words is "twenty-four billion, eight hundred seventy-eight million, six hundred thirty-eight thousand, eighty".