48810506760 has 288 divisors, whose sum is σ = 177279162840. Its totient is φ = 11605192704.

The previous prime is 48810506713. The next prime is 48810506783. The reversal of 48810506760 is 6760501884.

It is a happy number.

48810506760 is a `hidden beast` number, since 4 + 8 + 81 + 0 + 506 + 7 + 60 = 666.

It is a Cunningham number, because it is equal to 220931²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 48559411044 + 251095716 = 220362^2 + 15846^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 2198274 + ... + 2220366.

Almost surely, 2^48810506760 is an apocalyptic number.

48810506760 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 48810506760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88639581420).

48810506760 is an abundant number, since it is smaller than the sum of its proper divisors (128468656080).

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

48810506760 is a wasteful number, since it uses less digits than its factorization.

48810506760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22165 (or 22139 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 48810506760 in words is "forty-eight billion, eight hundred ten million, five hundred six thousand, seven hundred sixty".