48196127105280 has 2160 divisors, whose sum is σ = 221040403657920. Its totient is φ = 9914462208000.

The previous prime is 48196127105261. The next prime is 48196127105303. The reversal of 48196127105280 is 8250172169184.

48196127105280 is a `hidden beast` number, since 4 + 8 + 1 + 9 + 612 + 7 + 10 + 5 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 5644231251 + ... + 5644239789.

It is an arithmetic number, because the mean of its divisors is an integer number (102333520212).

Almost surely, 2^{48196127105280} is an apocalyptic number.

48196127105280 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 48196127105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110520201828960).

48196127105280 is an abundant number, since it is smaller than the sum of its proper divisors (172844276552640).

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

48196127105280 is a wasteful number, since it uses less digits than its factorization.

48196127105280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8698 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 48196127105280 in words is "forty-eight trillion, one hundred ninety-six billion, one hundred twenty-seven million, one hundred five thousand, two hundred eighty".