48728213820000 has 1920 divisors, whose sum is σ = 213749546250240. Its totient is φ = 10637568000000.

The previous prime is 48728213819983. The next prime is 48728213820001. The reversal of 48728213820000 is 2831282784.

48728213820000 is a `hidden beast` number, since 487 + 2 + 82 + 13 + 82 + 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 not an unprimeable number, because it can be changed into a prime (48728213820001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3166012305 + ... + 3166027695.

It is an arithmetic number, because the mean of its divisors is an integer number (111327888672).

Almost surely, 2^{48728213820000} is an apocalyptic number.

48728213820000 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 48728213820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106874773125120).

48728213820000 is an abundant number, since it is smaller than the sum of its proper divisors (165021332430240).

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

48728213820000 is a wasteful number, since it uses less digits than its factorization.

48728213820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15495 (or 15466 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 48728213820000 in words is "forty-eight trillion, seven hundred twenty-eight billion, two hundred thirteen million, eight hundred twenty thousand".