48829240056960 has 1536 divisors, whose sum is σ = 196652034109440. Its totient is φ = 11475136512000.

The previous prime is 48829240056959. The next prime is 48829240056991. The reversal of 48829240056960 is 6965004292884.

48829240056960 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 9 + 2 + 4 + 0 + 0 + 569 + 60 = 666.

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 191 ways as a sum of consecutive naturals, for example, 11432739625 + ... + 11432743895.

It is an arithmetic number, because the mean of its divisors is an integer number (128028668040).

Almost surely, 2^{48829240056960} is an apocalyptic number.

48829240056960 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 48829240056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98326017054720).

48829240056960 is an abundant number, since it is smaller than the sum of its proper divisors (147822794052480).

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

48829240056960 is a wasteful number, since it uses less digits than its factorization.

48829240056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 48829240056960 in words is "forty-eight trillion, eight hundred twenty-nine billion, two hundred forty million, fifty-six thousand, nine hundred sixty".