48652842240 has 288 divisors, whose sum is σ = 173190245760. Its totient is φ = 12933513216.

The previous prime is 48652842223. The next prime is 48652842257. The reversal of 48652842240 is 4224825684.

48652842240 is a `hidden beast` number, since 4 + 86 + 528 + 4 + 2 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (48652842223) and next prime (48652842257).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11990292 + ... + 11994348.

It is an arithmetic number, because the mean of its divisors is an integer number (601355020).

Almost surely, 2^48652842240 is an apocalyptic number.

48652842240 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 48652842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86595122880).

48652842240 is an abundant number, since it is smaller than the sum of its proper divisors (124537403520).

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

48652842240 is a wasteful number, since it uses less digits than its factorization.

48652842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 48652842240 in words is "forty-eight billion, six hundred fifty-two million, eight hundred forty-two thousand, two hundred forty".