48125780640 has 336 divisors, whose sum is σ = 194823595008. Its totient is φ = 10999991808.

The previous prime is 48125780597. The next prime is 48125780669. The reversal of 48125780640 is 4608752184.

48125780640 is a `hidden beast` number, since 4 + 8 + 12 + 578 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 787009 + ... + 845951.

It is an arithmetic number, because the mean of its divisors is an integer number (579832128).

Almost surely, 2^48125780640 is an apocalyptic number.

48125780640 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 48125780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97411797504).

48125780640 is an abundant number, since it is smaller than the sum of its proper divisors (146697814368).

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

48125780640 is an equidigital number, since it uses as much as digits as its factorization.

48125780640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58983 (or 58960 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 48125780640 in words is "forty-eight billion, one hundred twenty-five million, seven hundred eighty thousand, six hundred forty".