48093953456640 has 2560 divisors, whose sum is σ = 207110584074240. Its totient is φ = 9245137305600.

The previous prime is 48093953456597. The next prime is 48093953456737. The reversal of 48093953456640 is 4665435939084.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-3 number, since 3×48093953456640³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25760016987 + ... + 25760018853.

It is an arithmetic number, because the mean of its divisors is an integer number (80902571904).

Almost surely, 2^{48093953456640} is an apocalyptic number.

48093953456640 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 48093953456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103555292037120).

48093953456640 is an abundant number, since it is smaller than the sum of its proper divisors (159016630617600).

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

48093953456640 is a wasteful number, since it uses less digits than its factorization.

48093953456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 66.

The spelling of 48093953456640 in words is "forty-eight trillion, ninety-three billion, nine hundred fifty-three million, four hundred fifty-six thousand, six hundred forty".