48605511240 has 1152 divisors, whose sum is σ = 206134830720. Its totient is φ = 10236948480.

The previous prime is 48605511221. The next prime is 48605511263. The reversal of 48605511240 is 4211550684.

It is a happy number.

48605511240 is a `hidden beast` number, since 4 + 8 + 60 + 551 + 1 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48605511195 and 48605511204.

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 287 ways as a sum of consecutive naturals, for example, 2859147712 + ... + 2859147728.

It is an arithmetic number, because the mean of its divisors is an integer number (178936485).

Almost surely, 2^48605511240 is an apocalyptic number.

48605511240 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 48605511240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103067415360).

48605511240 is an abundant number, since it is smaller than the sum of its proper divisors (157529319480).

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

48605511240 is a wasteful number, since it uses less digits than its factorization.

48605511240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 48605511240 in words is "forty-eight billion, six hundred five million, five hundred eleven thousand, two hundred forty".