49686658560 has 720 divisors, whose sum is σ = 218425542192. Its totient is φ = 10321920000.

The previous prime is 49686658487. The next prime is 49686658579. The reversal of 49686658560 is 6585668694.

49686658560 is a `hidden beast` number, since 4 + 9 + 6 + 8 + 6 + 65 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 12416560 + ... + 12420560.

Almost surely, 2^49686658560 is an apocalyptic number.

49686658560 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 49686658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109212771096).

49686658560 is an abundant number, since it is smaller than the sum of its proper divisors (168738883632).

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

49686658560 is a wasteful number, since it uses less digits than its factorization.

49686658560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 49686658560 in words is "forty-nine billion, six hundred eighty-six million, six hundred fifty-eight thousand, five hundred sixty".