48689960958720 has 360 divisors, whose sum is σ = 175593455245824. Its totient is φ = 12881749966848.

The previous prime is 48689960958677. The next prime is 48689960958757. The reversal of 48689960958720 is 2785906998684.

48689960958720 is a `hidden beast` number, since 4 + 8 + 6 + 8 + 9 + 9 + 6 + 0 + 9 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 48689960958720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11318472 + ... + 15016248.

Almost surely, 2^{48689960958720} is an apocalyptic number.

48689960958720 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 48689960958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87796727622912).

48689960958720 is an abundant number, since it is smaller than the sum of its proper divisors (126903494287104).

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

48689960958720 is a wasteful number, since it uses less digits than its factorization.

48689960958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697937 (or 3697914 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 48689960958720 in words is "forty-eight trillion, six hundred eighty-nine billion, nine hundred sixty million, nine hundred fifty-eight thousand, seven hundred twenty".