49710964087296 has 960 divisors, whose sum is σ = 157253291395200. Its totient is φ = 15654417924096.

The previous prime is 49710964087289. The next prime is 49710964087313. The reversal of 49710964087296 is 69278046901794.

49710964087296 is a `hidden beast` number, since 4 + 97 + 109 + 6 + 408 + 7 + 29 + 6 = 666.

It is a super-3 number, since 3×49710964087296³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 62372601970 + ... + 62372602766.

It is an arithmetic number, because the mean of its divisors is an integer number (163805511870).

Almost surely, 2^{49710964087296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49710964087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78626645697600).

49710964087296 is an abundant number, since it is smaller than the sum of its proper divisors (107542327307904).

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

49710964087296 is an equidigital number, since it uses as much as digits as its factorization.

49710964087296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 49710964087296 in words is "forty-nine trillion, seven hundred ten billion, nine hundred sixty-four million, eighty-seven thousand, two hundred ninety-six".