48653573760000 has 1320 divisors, whose sum is σ = 198122003164800. Its totient is φ = 11387658240000.

The previous prime is 48653573759941. The next prime is 48653573760007. The reversal of 48653573760000 is 6737535684.

48653573760000 is a `hidden beast` number, since 4 + 8 + 6 + 5 + 3 + 573 + 7 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is not an unprimeable number, because it can be changed into a prime (48653573760007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1837426761 + ... + 1837453239.

It is an arithmetic number, because the mean of its divisors is an integer number (150092426640).

Almost surely, 2^{48653573760000} is an apocalyptic number.

48653573760000 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 48653573760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99061001582400).

48653573760000 is an abundant number, since it is smaller than the sum of its proper divisors (149468429404800).

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

48653573760000 is a wasteful number, since it uses less digits than its factorization.

48653573760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26565 (or 26529 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 48653573760000 in words is "forty-eight trillion, six hundred fifty-three billion, five hundred seventy-three million, seven hundred sixty thousand".