48093060455040 has 768 divisors, whose sum is σ = 170269588339200. Its totient is φ = 11512465367040.

The previous prime is 48093060455039. The next prime is 48093060455081. The reversal of 48093060455040 is 4055406039084.

It is a super-3 number, since 3×48093060455040³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2064865795 + ... + 2064889085.

It is an arithmetic number, because the mean of its divisors is an integer number (221705193150).

Almost surely, 2^{48093060455040} is an apocalyptic number.

48093060455040 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 48093060455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85134794169600).

48093060455040 is an abundant number, since it is smaller than the sum of its proper divisors (122176527884160).

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

48093060455040 is a wasteful number, since it uses less digits than its factorization.

48093060455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23485 (or 23450 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 48093060455040 in words is "forty-eight trillion, ninety-three billion, sixty million, four hundred fifty-five thousand, forty".