48928449245760 has 1120 divisors, whose sum is σ = 210931716238848. Its totient is φ = 10509787791360.

The previous prime is 48928449245659. The next prime is 48928449245789. The reversal of 48928449245760 is 6754294482984.

48928449245760 is a `hidden beast` number, since 4 + 8 + 9 + 2 + 8 + 4 + 49 + 2 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2088181245 + ... + 2088204675.

Almost surely, 2^{48928449245760} is an apocalyptic number.

48928449245760 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 48928449245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105465858119424).

48928449245760 is an abundant number, since it is smaller than the sum of its proper divisors (162003266993088).

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

48928449245760 is a wasteful number, since it uses less digits than its factorization.

48928449245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24161 (or 24142 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 48928449245760 in words is "forty-eight trillion, nine hundred twenty-eight billion, four hundred forty-nine million, two hundred forty-five thousand, seven hundred sixty".