48576111575040 has 1408 divisors, whose sum is σ = 199973629624320. Its totient is φ = 10958609055744.

The previous prime is 48576111575021. The next prime is 48576111575051. The reversal of 48576111575040 is 4057511167584.

48576111575040 is a `hidden beast` number, since 4 + 8 + 5 + 7 + 61 + 1 + 1 + 575 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251689697184 + ... + 251689697376.

Almost surely, 2^{48576111575040} is an apocalyptic number.

48576111575040 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 48576111575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99986814812160).

48576111575040 is an abundant number, since it is smaller than the sum of its proper divisors (151397518049280).

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

48576111575040 is an frugal number, since it uses more digits than its factorization.

48576111575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 48576111575040 in words is "forty-eight trillion, five hundred seventy-six billion, one hundred eleven million, five hundred seventy-five thousand, forty".