47513725440 has 160 divisors (see below), whose sum is σ = 152093747520. Its totient is φ = 12653789184.

The previous prime is 47513725433. The next prime is 47513725489. The reversal of 47513725440 is 4452731574.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 47513725392 and 47513725401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6578151 + ... + 6585369.

It is an arithmetic number, because the mean of its divisors is an integer number (950585922).

Almost surely, 2^47513725440 is an apocalyptic number.

47513725440 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 47513725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76046873760).

47513725440 is an abundant number, since it is smaller than the sum of its proper divisors (104580022080).

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

47513725440 is an equidigital number, since it uses as much as digits as its factorization.

47513725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8102 (or 8086 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 47513725440 in words is "forty-seven billion, five hundred thirteen million, seven hundred twenty-five thousand, four hundred forty".