48724872840 has 528 divisors, whose sum is σ = 191748144780. Its totient is φ = 11110659840.

The previous prime is 48724872797. The next prime is 48724872851. The reversal of 48724872840 is 4827842784.

48724872840 is a `hidden beast` number, since 4 + 87 + 2 + 487 + 2 + 84 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40287715524 + 8437157316 = 200718^2 + 91854^2 .

It is a super-2 number, since 2×48724872840² (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 an unprimeable number.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 115735830 + ... + 115736250.

Almost surely, 2^48724872840 is an apocalyptic number.

48724872840 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 48724872840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95874072390).

48724872840 is an abundant number, since it is smaller than the sum of its proper divisors (143023271940).

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

48724872840 is an equidigital number, since it uses as much as digits as its factorization.

48724872840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 48724872840 in words is "forty-eight billion, seven hundred twenty-four million, eight hundred seventy-two thousand, eight hundred forty".