48873165004800 has 1344 divisors, whose sum is σ = 188228622597120. Its totient is φ = 12408422400000.

The previous prime is 48873165004799. The next prime is 48873165004841. The reversal of 48873165004800 is 840056137884.

48873165004800 is a `hidden beast` number, since 4 + 8 + 87 + 3 + 16 + 500 + 48 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31922380035 + ... + 31922381565.

It is an arithmetic number, because the mean of its divisors is an integer number (140051058480).

Almost surely, 2^{48873165004800} is an apocalyptic number.

48873165004800 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 48873165004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94114311298560).

48873165004800 is an abundant number, since it is smaller than the sum of its proper divisors (139355457592320).

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

48873165004800 is a wasteful number, since it uses less digits than its factorization.

48873165004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 48873165004800 in words is "forty-eight trillion, eight hundred seventy-three billion, one hundred sixty-five million, four thousand, eight hundred".