48759459840 has 2080 divisors, whose sum is σ = 239769573120. Its totient is φ = 9172942848.

The previous prime is 48759459839. The next prime is 48759459869. The reversal of 48759459840 is 4895495784.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2566287351 + ... + 2566287369.

Almost surely, 2^48759459840 is an apocalyptic number.

48759459840 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 48759459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119884786560).

48759459840 is an abundant number, since it is smaller than the sum of its proper divisors (191010113280).

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

48759459840 is a wasteful number, since it uses less digits than its factorization.

48759459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 48759459840 in words is "forty-eight billion, seven hundred fifty-nine million, four hundred fifty-nine thousand, eight hundred forty".