49638251520000 has 4480 divisors, whose sum is σ = 225619986493440. Its totient is φ = 10749542400000.

The previous prime is 49638251519903. The next prime is 49638251520043. The reversal of 49638251520000 is 2515283694.

49638251520000 is a `hidden beast` number, since 4 + 9 + 638 + 2 + 5 + 1 + 5 + 2 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 1601233919985 + ... + 1601233920015.

It is an arithmetic number, because the mean of its divisors is an integer number (50361604128).

Almost surely, 2^{49638251520000} is an apocalyptic number.

49638251520000 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 49638251520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112809993246720).

49638251520000 is an abundant number, since it is smaller than the sum of its proper divisors (175981734973440).

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

49638251520000 is an frugal number, since it uses more digits than its factorization.

49638251520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 49638251520000 in words is "forty-nine trillion, six hundred thirty-eight billion, two hundred fifty-one million, five hundred twenty thousand".