48980696719680 has 672 divisors, whose sum is σ = 184332613645440. Its totient is φ = 11839041699840.

The previous prime is 48980696719657. The next prime is 48980696719687. The reversal of 48980696719680 is 8691769608984.

48980696719680 is a `hidden beast` number, since 489 + 8 + 0 + 6 + 9 + 6 + 71 + 9 + 68 + 0 = 666.

It is a super-2 number, since 2×48980696719680² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48980696719680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48980696719687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28863108592 + ... + 28863110288.

Almost surely, 2^{48980696719680} is an apocalyptic number.

48980696719680 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 48980696719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92166306822720).

48980696719680 is an abundant number, since it is smaller than the sum of its proper divisors (135351916925760).

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

48980696719680 is a wasteful number, since it uses less digits than its factorization.

48980696719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 2257403904, while the sum is 81.

The spelling of 48980696719680 in words is "forty-eight trillion, nine hundred eighty billion, six hundred ninety-six million, seven hundred nineteen thousand, six hundred eighty".