49109719680 has 384 divisors, whose sum is σ = 205211335680. Its totient is φ = 10564632576.

The previous prime is 49109719679. The next prime is 49109719699. The reversal of 49109719680 is 8691790194.

49109719680 is a `hidden beast` number, since 491 + 0 + 9 + 71 + 9 + 6 + 80 = 666.

49109719680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649617 + ... + 721263.

It is an arithmetic number, because the mean of its divisors is an integer number (534404520).

Almost surely, 2^49109719680 is an apocalyptic number.

49109719680 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 49109719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102605667840).

49109719680 is an abundant number, since it is smaller than the sum of its proper divisors (156101616000).

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

49109719680 is a wasteful number, since it uses less digits than its factorization.

49109719680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71696 (or 71681 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 49109719680 in words is "forty-nine billion, one hundred nine million, seven hundred nineteen thousand, six hundred eighty".