48823884103680 has 2160 divisors, whose sum is σ = 211740165262080. Its totient is φ = 10556910600192.

The previous prime is 48823884103637. The next prime is 48823884103681. The reversal of 48823884103680 is 8630148832884.

48823884103680 is a `hidden beast` number, since 4 + 8 + 82 + 3 + 88 + 410 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (48823884103681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71484456619 + ... + 71484457301.

It is an arithmetic number, because the mean of its divisors is an integer number (98027854288).

Almost surely, 2^{48823884103680} is an apocalyptic number.

48823884103680 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 48823884103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105870082631040).

48823884103680 is an abundant number, since it is smaller than the sum of its proper divisors (162916281158400).

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

48823884103680 is an frugal number, since it uses more digits than its factorization.

48823884103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 48823884103680 in words is "forty-eight trillion, eight hundred twenty-three billion, eight hundred eighty-four million, one hundred three thousand, six hundred eighty".