248478127920 has 240 divisors, whose sum is σ = 915055888032. Its totient is φ = 59924643840.

The previous prime is 248478127907. The next prime is 248478127949. The reversal of 248478127920 is 29721874842.

248478127920 is a `hidden beast` number, since 2 + 48 + 478 + 127 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1447282 + ... + 1609838.

Almost surely, 2^248478127920 is an apocalyptic number.

248478127920 is a gapful number since it is divisible by the number (20) 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 248478127920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457527944016).

248478127920 is an abundant number, since it is smaller than the sum of its proper divisors (666577760112).

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

248478127920 is a wasteful number, since it uses less digits than its factorization.

248478127920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162780 (or 162771 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 248478127920 in words is "two hundred forty-eight billion, four hundred seventy-eight million, one hundred twenty-seven thousand, nine hundred twenty".