48457016055040 has 576 divisors, whose sum is σ = 126085065523200. Its totient is φ = 17776823500800.

The previous prime is 48457016055011. The next prime is 48457016055061. The reversal of 48457016055040 is 4055061075484.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80896520661 + ... + 80896521259.

It is an arithmetic number, because the mean of its divisors is an integer number (218897683200).

Almost surely, 2^{48457016055040} is an apocalyptic number.

48457016055040 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 48457016055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63042532761600).

48457016055040 is an abundant number, since it is smaller than the sum of its proper divisors (77628049468160).

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

48457016055040 is a wasteful number, since it uses less digits than its factorization.

48457016055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 49.

The spelling of 48457016055040 in words is "forty-eight trillion, four hundred fifty-seven billion, sixteen million, fifty-five thousand, forty".