48368313781920 has 960 divisors, whose sum is σ = 188812084285440. Its totient is φ = 11562688051200.

The previous prime is 48368313781919. The next prime is 48368313781979. The reversal of 48368313781920 is 2918731386384.

48368313781920 is a `hidden beast` number, since 4 + 8 + 3 + 68 + 313 + 78 + 192 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10935632829 + ... + 10935637251.

It is an arithmetic number, because the mean of its divisors is an integer number (196679254464).

Almost surely, 2^{48368313781920} is an apocalyptic number.

48368313781920 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 48368313781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94406042142720).

48368313781920 is an abundant number, since it is smaller than the sum of its proper divisors (140443770503520).

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

48368313781920 is a wasteful number, since it uses less digits than its factorization.

48368313781920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 48368313781920 in words is "forty-eight trillion, three hundred sixty-eight billion, three hundred thirteen million, seven hundred eighty-one thousand, nine hundred twenty".