48648007710720 has 384 divisors, whose sum is σ = 188649246240000. Its totient is φ = 11793455677440.

The previous prime is 48648007710691. The next prime is 48648007710727. The reversal of 48648007710720 is 2701770084684.

48648007710720 is a `hidden beast` number, since 4 + 86 + 480 + 0 + 7 + 7 + 10 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48648007710727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4956670 + ... + 11039229.

It is an arithmetic number, because the mean of its divisors is an integer number (491274078750).

Almost surely, 2^{48648007710720} is an apocalyptic number.

48648007710720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48648007710720 is an abundant number, since it is smaller than the sum of its proper divisors (140001238529280).

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

48648007710720 is a wasteful number, since it uses less digits than its factorization.

48648007710720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15995946 (or 15995920 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 48648007710720 in words is "forty-eight trillion, six hundred forty-eight billion, seven million, seven hundred ten thousand, seven hundred twenty".