48387679300800 has 1890 divisors, whose sum is σ = 218372377254372. Its totient is φ = 10477437143040.

The previous prime is 48387679300777. The next prime is 48387679300847. The reversal of 48387679300800 is 800397678384.

48387679300800 is a `hidden beast` number, since 483 + 8 + 7 + 6 + 79 + 3 + 0 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1890).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 2292483847 + ... + 2292504953.

Almost surely, 2^{48387679300800} is an apocalyptic number.

48387679300800 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 48387679300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109186188627186).

48387679300800 is an abundant number, since it is smaller than the sum of its proper divisors (169984697953572).

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

48387679300800 is a wasteful number, since it uses less digits than its factorization.

48387679300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21193 (or 21143 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 48387679300800 in words is "forty-eight trillion, three hundred eighty-seven billion, six hundred seventy-nine million, three hundred thousand, eight hundred".