49482384537600 has 1728 divisors, whose sum is σ = 214607651731200. Its totient is φ = 11140427612160.

The previous prime is 49482384537589. The next prime is 49482384537613. The reversal of 49482384537600 is 673548328494.

49482384537600 is a `hidden beast` number, since 4 + 9 + 4 + 8 + 2 + 38 + 4 + 537 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 143 ways as a sum of consecutive naturals, for example, 4538413749 + ... + 4538424651.

It is an arithmetic number, because the mean of its divisors is an integer number (124194242900).

Almost surely, 2^{49482384537600} is an apocalyptic number.

49482384537600 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 49482384537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107303825865600).

49482384537600 is an abundant number, since it is smaller than the sum of its proper divisors (165125267193600).

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

49482384537600 is a wasteful number, since it uses less digits than its factorization.

49482384537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11025 (or 10987 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 49482384537600 in words is "forty-nine trillion, four hundred eighty-two billion, three hundred eighty-four million, five hundred thirty-seven thousand, six hundred".