49524583680000 has 2880 divisors, whose sum is σ = 217239826003200. Its totient is φ = 11070259200000.

The previous prime is 49524583679993. The next prime is 49524583680017. The reversal of 49524583680000 is 8638542594.

49524583680000 is a `hidden beast` number, since 4 + 9 + 52 + 4 + 583 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 54362879545 + ... + 54362880455.

It is an arithmetic number, because the mean of its divisors is an integer number (75430495140).

Almost surely, 2^{49524583680000} is an apocalyptic number.

49524583680000 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 49524583680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108619913001600).

49524583680000 is an abundant number, since it is smaller than the sum of its proper divisors (167715242323200).

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

49524583680000 is a wasteful number, since it uses less digits than its factorization.

49524583680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 49524583680000 in words is "forty-nine trillion, five hundred twenty-four billion, five hundred eighty-three million, six hundred eighty thousand".