48787038720000 has 5200 divisors, whose sum is σ = 230359568841600. Its totient is φ = 10032906240000.

The previous prime is 48787038719989. The next prime is 48787038720041. The reversal of 48787038720000 is 2783078784.

It is a happy number.

48787038720000 is a `hidden beast` number, since 487 + 87 + 0 + 3 + 87 + 2 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 399 ways as a sum of consecutive naturals, for example, 799787519970 + ... + 799787520030.

Almost surely, 2^{48787038720000} is an apocalyptic number.

48787038720000 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 48787038720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115179784420800).

48787038720000 is an abundant number, since it is smaller than the sum of its proper divisors (181572530121600).

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

48787038720000 is an equidigital number, since it uses as much as digits as its factorization.

48787038720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 48787038720000 in words is "forty-eight trillion, seven hundred eighty-seven billion, thirty-eight million, seven hundred twenty thousand".