48967911720 has 1536 divisors, whose sum is σ = 221908377600. Its totient is φ = 9426751488.

The previous prime is 48967911719. The next prime is 48967911731. The reversal of 48967911720 is 2711976984.

48967911720 is a `hidden beast` number, since 489 + 6 + 7 + 91 + 1 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 589974799 + ... + 589974881.

It is an arithmetic number, because the mean of its divisors is an integer number (144471600).

Almost surely, 2^48967911720 is an apocalyptic number.

48967911720 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 48967911720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110954188800).

48967911720 is an abundant number, since it is smaller than the sum of its proper divisors (172940465880).

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

48967911720 is a wasteful number, since it uses less digits than its factorization.

48967911720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 48967911720 in words is "forty-eight billion, nine hundred sixty-seven million, nine hundred eleven thousand, seven hundred twenty".