49829938648560 has 2160 divisors, whose sum is σ = 221406509076480. Its totient is φ = 10372143882240.

The previous prime is 49829938648517. The next prime is 49829938648583. The reversal of 49829938648560 is 6584683992894.

49829938648560 is a `hidden beast` number, since 4 + 9 + 8 + 2 + 9 + 9 + 3 + 8 + 6 + 48 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 49829938648560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8533982121 + ... + 8533987959.

Almost surely, 2^{49829938648560} is an apocalyptic number.

49829938648560 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 49829938648560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110703254538240).

49829938648560 is an abundant number, since it is smaller than the sum of its proper divisors (171576570427920).

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

49829938648560 is a wasteful number, since it uses less digits than its factorization.

49829938648560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 6449725440, while the sum is 81.

The spelling of 49829938648560 in words is "forty-nine trillion, eight hundred twenty-nine billion, nine hundred thirty-eight million, six hundred forty-eight thousand, five hundred sixty".