48672759870 has 400 divisors, whose sum is σ = 158126981760. Its totient is φ = 10729127808.

The previous prime is 48672759869. The next prime is 48672759871. The reversal of 48672759870 is 7895727684.

48672759870 is a `hidden beast` number, since 486 + 7 + 2 + 75 + 9 + 87 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48672759869) and next prime (48672759871).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 48672759798 and 48672759807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48672759871) by changing a digit.

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 199 ways as a sum of consecutive naturals, for example, 56399059 + ... + 56399921.

Almost surely, 2^48672759870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48672759870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79063490880).

48672759870 is an abundant number, since it is smaller than the sum of its proper divisors (109454221890).

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

48672759870 is an equidigital number, since it uses as much as digits as its factorization.

48672759870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 48672759870 in words is "forty-eight billion, six hundred seventy-two million, seven hundred fifty-nine thousand, eight hundred seventy".