49971172680 has 768 divisors, whose sum is σ = 205302988800. Its totient is φ = 10358876160.

The previous prime is 49971172679. The next prime is 49971172697. The reversal of 49971172680 is 8627117994.

49971172680 is a `hidden beast` number, since 499 + 7 + 1 + 1 + 72 + 6 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45971097 + ... + 45972183.

It is an arithmetic number, because the mean of its divisors is an integer number (267321600).

Almost surely, 2^49971172680 is an apocalyptic number.

49971172680 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 49971172680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102651494400).

49971172680 is an abundant number, since it is smaller than the sum of its proper divisors (155331816120).

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

49971172680 is a wasteful number, since it uses less digits than its factorization.

49971172680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 49971172680 in words is "forty-nine billion, nine hundred seventy-one million, one hundred seventy-two thousand, six hundred eighty".