49265416287360 has 2048 divisors, whose sum is σ = 221509641830400. Its totient is φ = 10071031283712.

The previous prime is 49265416287289. The next prime is 49265416287377. The reversal of 49265416287360 is 6378261456294.

49265416287360 is a `hidden beast` number, since 4 + 9 + 2 + 6 + 541 + 6 + 2 + 87 + 3 + 6 + 0 = 666.

49265416287360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8587310412 + ... + 8587316148.

It is an arithmetic number, because the mean of its divisors is an integer number (108159004800).

It is a 1-persistent number, because it is pandigital, but 2⋅49265416287360 = 98530832574720 is not.

Almost surely, 2^{49265416287360} is an apocalyptic number.

49265416287360 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 49265416287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110754820915200).

49265416287360 is an abundant number, since it is smaller than the sum of its proper divisors (172244225543040).

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

49265416287360 is a wasteful number, since it uses less digits than its factorization.

49265416287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 49265416287360 in words is "forty-nine trillion, two hundred sixty-five billion, four hundred sixteen million, two hundred eighty-seven thousand, three hundred sixty".