48057236640 has 576 divisors, whose sum is σ = 195324659712. Its totient is φ = 10528358400.

The previous prime is 48057236603. The next prime is 48057236657. The reversal of 48057236640 is 4663275084.

48057236640 is a `hidden beast` number, since 4 + 8 + 0 + 572 + 36 + 6 + 40 = 666.

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 95 ways as a sum of consecutive naturals, for example, 35309560 + ... + 35310920.

It is an arithmetic number, because the mean of its divisors is an integer number (339105312).

Almost surely, 2^48057236640 is an apocalyptic number.

48057236640 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 48057236640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97662329856).

48057236640 is an abundant number, since it is smaller than the sum of its proper divisors (147267423072).

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

48057236640 is a wasteful number, since it uses less digits than its factorization.

48057236640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 48057236640 in words is "forty-eight billion, fifty-seven million, two hundred thirty-six thousand, six hundred forty".