48259070640 has 240 divisors, whose sum is σ = 176967887616. Its totient is φ = 11688307200.

The previous prime is 48259070633. The next prime is 48259070647. The reversal of 48259070640 is 4607095284.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48259070633) and next prime (48259070647).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (48259070647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11458135 + ... + 11462345.

Almost surely, 2^48259070640 is an apocalyptic number.

48259070640 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 48259070640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88483943808).

48259070640 is an abundant number, since it is smaller than the sum of its proper divisors (128708816976).

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

48259070640 is a wasteful number, since it uses less digits than its factorization.

48259070640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 48259070640 in words is "forty-eight billion, two hundred fifty-nine million, seventy thousand, six hundred forty".