49538858688000 has 1920 divisors, whose sum is σ = 212497984258560. Its totient is φ = 11376599040000.

The previous prime is 49538858687999. The next prime is 49538858688029. The reversal of 49538858688000 is 88685883594.

49538858688000 is a `hidden beast` number, since 4 + 9 + 5 + 38 + 8 + 586 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 49538858688000.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3250360380 + ... + 3250375620.

It is an arithmetic number, because the mean of its divisors is an integer number (110676033468).

Almost surely, 2^{49538858688000} is an apocalyptic number.

49538858688000 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 49538858688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106248992129280).

49538858688000 is an abundant number, since it is smaller than the sum of its proper divisors (162959125570560).

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

49538858688000 is a wasteful number, since it uses less digits than its factorization.

49538858688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15319 (or 15281 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 72.

The spelling of 49538858688000 in words is "forty-nine trillion, five hundred thirty-eight billion, eight hundred fifty-eight million, six hundred eighty-eight thousand".