49279950720 has 2304 divisors, whose sum is σ = 246825230400. Its totient is φ = 9196830720.

The previous prime is 49279950691. The next prime is 49279950739. The reversal of 49279950720 is 2705997294.

49279950720 is a `hidden beast` number, since 4 + 9 + 27 + 99 + 507 + 20 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 1331890542 + ... + 1331890578.

Almost surely, 2^49279950720 is an apocalyptic number.

49279950720 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 49279950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123412615200).

49279950720 is an abundant number, since it is smaller than the sum of its proper divisors (197545279680).

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

49279950720 is a wasteful number, since it uses less digits than its factorization.

49279950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

It can be divided in two parts, 49279 and 950720, that added together give a palindrome (999999).

The spelling of 49279950720 in words is "forty-nine billion, two hundred seventy-nine million, nine hundred fifty thousand, seven hundred twenty".