49587012034560 has 5376 divisors, whose sum is σ = 246997552435200. Its totient is φ = 9390800240640.

The previous prime is 49587012034537. The next prime is 49587012034589. The reversal of 49587012034560 is 6543021078594.

It is a happy number.

49587012034560 is a `hidden beast` number, since 4 + 9 + 5 + 8 + 70 + 1 + 2 + 0 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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

It is a junction number, because it is equal to n+sod(n) for n = 49587012034497 and 49587012034506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 627683696601 + ... + 627683696679.

It is an arithmetic number, because the mean of its divisors is an integer number (45944485200).

It is a 1-persistent number, because it is pandigital, but 2⋅49587012034560 = 99174024069120 is not.

Almost surely, 2^{49587012034560} is an apocalyptic number.

49587012034560 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 49587012034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123498776217600).

49587012034560 is an abundant number, since it is smaller than the sum of its proper divisors (197410540400640).

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

49587012034560 is an equidigital number, since it uses as much as digits as its factorization.

49587012034560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 49587012034560 in words is "forty-nine trillion, five hundred eighty-seven billion, twelve million, thirty-four thousand, five hundred sixty".