49616888982528 has 1056 divisors, whose sum is σ = 168910270341120. Its totient is φ = 12853019934720.

The previous prime is 49616888982481. The next prime is 49616888982587. The reversal of 49616888982528 is 82528988861694.

It is a Harshad number since it is a multiple of its sum of digits (84).

Its product of digits (7644119040) is a multiple of the sum of its prime divisors (2916).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18959451876 + ... + 18959454492.

It is an arithmetic number, because the mean of its divisors is an integer number (159952907520).

Almost surely, 2^{49616888982528} is an apocalyptic number.

49616888982528 is a gapful number since it is divisible by the number (48) 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 49616888982528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84455135170560).

49616888982528 is an abundant number, since it is smaller than the sum of its proper divisors (119293381358592).

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

49616888982528 is a wasteful number, since it uses less digits than its factorization.

49616888982528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2916 counting only the distinct ones).

The product of its digits is 7644119040, while the sum is 84.

The spelling of 49616888982528 in words is "forty-nine trillion, six hundred sixteen billion, eight hundred eighty-eight million, nine hundred eighty-two thousand, five hundred twenty-eight".