48782691360 has 864 divisors, whose sum is σ = 194645348352. Its totient is φ = 11054776320.

The previous prime is 48782691319. The next prime is 48782691361. The reversal of 48782691360 is 6319628784.

48782691360 is a `hidden beast` number, since 487 + 8 + 26 + 9 + 136 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48782691297 and 48782691306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48782691361) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 384115617 + ... + 384115743.

It is an arithmetic number, because the mean of its divisors is an integer number (225283968).

Almost surely, 2^48782691360 is an apocalyptic number.

48782691360 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 48782691360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97322674176).

48782691360 is an abundant number, since it is smaller than the sum of its proper divisors (145862656992).

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

48782691360 is a wasteful number, since it uses less digits than its factorization.

48782691360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 48782691360 in words is "forty-eight billion, seven hundred eighty-two million, six hundred ninety-one thousand, three hundred sixty".