49263759360 has 624 divisors, whose sum is σ = 186762663360. Its totient is φ = 12421693440.

The previous prime is 49263759331. The next prime is 49263759373. The reversal of 49263759360 is 6395736294.

49263759360 is a `hidden beast` number, since 49 + 2 + 6 + 3 + 7 + 593 + 6 + 0 = 666.

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 = 49263759297 and 49263759306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94555900 + ... + 94556420.

It is an arithmetic number, because the mean of its divisors is an integer number (299299140).

Almost surely, 2^49263759360 is an apocalyptic number.

49263759360 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 49263759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93381331680).

49263759360 is an abundant number, since it is smaller than the sum of its proper divisors (137498904000).

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

49263759360 is an equidigital number, since it uses as much as digits as its factorization.

49263759360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 49263759360 in words is "forty-nine billion, two hundred sixty-three million, seven hundred fifty-nine thousand, three hundred sixty".