48861088012800 has 1200 divisors, whose sum is σ = 217550662443840. Its totient is φ = 10580416266240.

The previous prime is 48861088012799. The next prime is 48861088012823. The reversal of 48861088012800 is 821088016884.

48861088012800 is a `hidden beast` number, since 4 + 8 + 8 + 610 + 8 + 8 + 0 + 12 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 137717232 + ... + 138071568.

Almost surely, 2^{48861088012800} is an apocalyptic number.

48861088012800 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 48861088012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108775331221920).

48861088012800 is an abundant number, since it is smaller than the sum of its proper divisors (168689574431040).

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

48861088012800 is a wasteful number, since it uses less digits than its factorization.

48861088012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354403 (or 354373 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 48861088012800 in words is "forty-eight trillion, eight hundred sixty-one billion, eighty-eight million, twelve thousand, eight hundred".