48255367680 has 1080 divisors, whose sum is σ = 198970967052. Its totient is φ = 11179524096.

The previous prime is 48255367639. The next prime is 48255367703. The reversal of 48255367680 is 8676355284.

48255367680 is a `hidden beast` number, since 4 + 8 + 2 + 553 + 6 + 7 + 6 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9958443264 + 38296924416 = 99792^2 + 195696^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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 107 ways as a sum of consecutive naturals, for example, 2838551032 + ... + 2838551048.

Almost surely, 2^48255367680 is an apocalyptic number.

48255367680 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 48255367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99485483526).

48255367680 is an abundant number, since it is smaller than the sum of its proper divisors (150715599372).

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

48255367680 is an frugal number, since it uses more digits than its factorization.

48255367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 48255367680 in words is "forty-eight billion, two hundred fifty-five million, three hundred sixty-seven thousand, six hundred eighty".