48129269760 has 1008 divisors, whose sum is σ = 199869716592. Its totient is φ = 10640424960.

The previous prime is 48129269719. The next prime is 48129269761. The reversal of 48129269760 is 6796292184.

48129269760 is a `hidden beast` number, since 481 + 2 + 92 + 6 + 9 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48129269697 and 48129269706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48129269761) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 579870679 + ... + 579870761.

It is an arithmetic number, because the mean of its divisors is an integer number (198283449).

Almost surely, 2^48129269760 is an apocalyptic number.

48129269760 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 48129269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99934858296).

48129269760 is an abundant number, since it is smaller than the sum of its proper divisors (151740446832).

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

48129269760 is a wasteful number, since it uses less digits than its factorization.

48129269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 48129269760 in words is "forty-eight billion, one hundred twenty-nine million, two hundred sixty-nine thousand, seven hundred sixty".