48830679031680 has 1280 divisors, whose sum is σ = 214760693347200. Its totient is φ = 10296246140928.

The previous prime is 48830679031643. The next prime is 48830679031697. The reversal of 48830679031680 is 8613097603884.

48830679031680 is a `hidden beast` number, since 4 + 8 + 8 + 306 + 7 + 9 + 0 + 316 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12873891864 + ... + 12873895656.

Almost surely, 2^{48830679031680} is an apocalyptic number.

48830679031680 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 48830679031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107380346673600).

48830679031680 is an abundant number, since it is smaller than the sum of its proper divisors (165930014315520).

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

48830679031680 is a wasteful number, since it uses less digits than its factorization.

48830679031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6573 (or 6552 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 48830679031680 in words is "forty-eight trillion, eight hundred thirty billion, six hundred seventy-nine million, thirty-one thousand, six hundred eighty".