48254450520960 has 192 divisors, whose sum is σ = 166702131648000. Its totient is φ = 12862178832384.

The previous prime is 48254450520931. The next prime is 48254450520967. The reversal of 48254450520960 is 6902505445284.

48254450520960 is a `hidden beast` number, since 4 + 8 + 2 + 5 + 4 + 4 + 50 + 520 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 48254450520897 and 48254450520906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48254450520967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11223361 + ... + 14915519.

It is an arithmetic number, because the mean of its divisors is an integer number (868240269000).

Almost surely, 2^{48254450520960} is an apocalyptic number.

48254450520960 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 48254450520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83351065824000).

48254450520960 is an abundant number, since it is smaller than the sum of its proper divisors (118447681127040).

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

48254450520960 is a wasteful number, since it uses less digits than its factorization.

48254450520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694453 (or 3694438 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 48254450520960 in words is "forty-eight trillion, two hundred fifty-four billion, four hundred fifty million, five hundred twenty thousand, nine hundred sixty".