48127970880 has 560 divisors, whose sum is σ = 189995129280. Its totient is φ = 11465625600.

The previous prime is 48127970873. The next prime is 48127970903. The reversal of 48127970880 is 8807972184.

It is a happy number.

It is a super-2 number, since 2×48127970880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16820650 + ... + 16823510.

Almost surely, 2^48127970880 is an apocalyptic number.

48127970880 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 48127970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94997564640).

48127970880 is an abundant number, since it is smaller than the sum of its proper divisors (141867158400).

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

48127970880 is a wasteful number, since it uses less digits than its factorization.

48127970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 48127970880 in words is "forty-eight billion, one hundred twenty-seven million, nine hundred seventy thousand, eight hundred eighty".