48324270305920 has 1536 divisors, whose sum is σ = 150599736000000. Its totient is φ = 14761117679616.

The previous prime is 48324270305869. The next prime is 48324270305921. The reversal of 48324270305920 is 2950307242384.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48324270305921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 542969329236 + ... + 542969329324.

It is an arithmetic number, because the mean of its divisors is an integer number (98046703125).

Almost surely, 2^{48324270305920} is an apocalyptic number.

48324270305920 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 48324270305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75299868000000).

48324270305920 is an abundant number, since it is smaller than the sum of its proper divisors (102275465694080).

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

48324270305920 is an equidigital number, since it uses as much as digits as its factorization.

48324270305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 48324270305920 in words is "forty-eight trillion, three hundred twenty-four billion, two hundred seventy million, three hundred five thousand, nine hundred twenty".