48766640202000 has 480 divisors, whose sum is σ = 194893644651264. Its totient is φ = 11133158400000.

The previous prime is 48766640201891. The next prime is 48766640202037. The reversal of 48766640202000 is 20204666784.

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

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 95 ways as a sum of consecutive naturals, for example, 103968000 + ... + 104436000.

Almost surely, 2^{48766640202000} is an apocalyptic number.

48766640202000 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 48766640202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97446822325632).

48766640202000 is an abundant number, since it is smaller than the sum of its proper divisors (146127004449264).

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

48766640202000 is a wasteful number, since it uses less digits than its factorization.

48766640202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468864 (or 468845 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

Adding to 48766640202000 its reverse (20204666784), we get a palindrome (48786844868784).

The spelling of 48766640202000 in words is "forty-eight trillion, seven hundred sixty-six billion, six hundred forty million, two hundred two thousand".