48859759872000 has 3840 divisors, whose sum is σ = 230808262164480. Its totient is φ = 9986457600000.

The previous prime is 48859759871963. The next prime is 48859759872031. The reversal of 48859759872000 is 27895795884.

48859759872000 is a `hidden beast` number, since 4 + 8 + 8 + 5 + 9 + 7 + 598 + 7 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×48859759872000² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48859759872000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 113363711785 + ... + 113363712215.

It is an arithmetic number, because the mean of its divisors is an integer number (60106318272).

Almost surely, 2^{48859759872000} is an apocalyptic number.

48859759872000 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 48859759872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115404131082240).

48859759872000 is an abundant number, since it is smaller than the sum of its proper divisors (181948502292480).

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

48859759872000 is a wasteful number, since it uses less digits than its factorization.

48859759872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 48859759872000 in words is "forty-eight trillion, eight hundred fifty-nine billion, seven hundred fifty-nine million, eight hundred seventy-two thousand".