48719321280 has 336 divisors, whose sum is σ = 199841900544. Its totient is φ = 10651576320.

The previous prime is 48719321269. The next prime is 48719321291. The reversal of 48719321280 is 8212391784.

It is a happy number.

48719321280 is a `hidden beast` number, since 48 + 7 + 1 + 9 + 321 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (48719321269) and next prime (48719321291).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411145 + ... + 516215.

Almost surely, 2^48719321280 is an apocalyptic number.

48719321280 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 48719321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99920950272).

48719321280 is an abundant number, since it is smaller than the sum of its proper divisors (151122579264).

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

48719321280 is a wasteful number, since it uses less digits than its factorization.

48719321280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105124 (or 105111 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 48719321280 in words is "forty-eight billion, seven hundred nineteen million, three hundred twenty-one thousand, two hundred eighty".