49865079264 has 768 divisors, whose sum is σ = 191182602240. Its totient is φ = 10948608000.

The previous prime is 49865079247. The next prime is 49865079281. The reversal of 49865079264 is 46297056894.

It is an interprime number because it is at equal distance from previous prime (49865079247) and next prime (49865079281).

It is a super-2 number, since 2×49865079264² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49865079198 and 49865079207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56600104 + ... + 56600984.

It is an arithmetic number, because the mean of its divisors is an integer number (248935680).

Almost surely, 2^49865079264 is an apocalyptic number.

49865079264 is a gapful number since it is divisible by the number (44) 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 49865079264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95591301120).

49865079264 is an abundant number, since it is smaller than the sum of its proper divisors (141317522976).

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

49865079264 is a wasteful number, since it uses less digits than its factorization.

49865079264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 49865079264 in words is "forty-nine billion, eight hundred sixty-five million, seventy-nine thousand, two hundred sixty-four".