48615668398080 has 3072 divisors, whose sum is σ = 217379635200000. Its totient is φ = 10271838044160.

The previous prime is 48615668398067. The next prime is 48615668398081. The reversal of 48615668398080 is 8089386651684.

It is a happy number.

48615668398080 is a `hidden beast` number, since 4 + 8 + 6 + 156 + 6 + 8 + 398 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48615668398081) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 67615671961 + ... + 67615672679.

It is an arithmetic number, because the mean of its divisors is an integer number (70761600000).

Almost surely, 2^{48615668398080} is an apocalyptic number.

48615668398080 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 48615668398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108689817600000).

48615668398080 is an abundant number, since it is smaller than the sum of its proper divisors (168763966801920).

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

48615668398080 is a wasteful number, since it uses less digits than its factorization.

48615668398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 48615668398080 in words is "forty-eight trillion, six hundred fifteen billion, six hundred sixty-eight million, three hundred ninety-eight thousand, eighty".