49579858080 has 384 divisors, whose sum is σ = 184191356160. Its totient is φ = 12412846080.

The previous prime is 49579858057. The next prime is 49579858117. The reversal of 49579858080 is 8085897594.

It is a happy number.

49579858080 is a `hidden beast` number, since 4 + 9 + 579 + 8 + 58 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49579857999 and 49579858017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50746552 + ... + 50747528.

It is an arithmetic number, because the mean of its divisors is an integer number (479664990).

Almost surely, 2^49579858080 is an apocalyptic number.

49579858080 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 49579858080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92095678080).

49579858080 is an abundant number, since it is smaller than the sum of its proper divisors (134611498080).

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

49579858080 is a wasteful number, since it uses less digits than its factorization.

49579858080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

It can be divided in two parts, 495798 and 58080, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 49579858080 in words is "forty-nine billion, five hundred seventy-nine million, eight hundred fifty-eight thousand, eighty".