48910575399840 has 1728 divisors, whose sum is σ = 216201165852672. Its totient is φ = 9953169408000.

The previous prime is 48910575399817. The next prime is 48910575399841. The reversal of 48910575399840 is 4899357501984.

48910575399840 is a `hidden beast` number, since 4 + 8 + 9 + 1 + 0 + 5 + 7 + 539 + 9 + 84 + 0 = 666.

It is a super-3 number, since 3×48910575399840³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (48910575399841) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42493983265 + ... + 42493984415.

It is an arithmetic number, because the mean of its divisors is an integer number (125116415424).

Almost surely, 2^{48910575399840} is an apocalyptic number.

48910575399840 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 48910575399840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108100582926336).

48910575399840 is an abundant number, since it is smaller than the sum of its proper divisors (167290590452832).

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

48910575399840 is a wasteful number, since it uses less digits than its factorization.

48910575399840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 48910575399840 in words is "forty-eight trillion, nine hundred ten billion, five hundred seventy-five million, three hundred ninety-nine thousand, eight hundred forty".