48012531840 has 1024 divisors, whose sum is σ = 220437504000. Its totient is φ = 9590980608.

The previous prime is 48012531839. The next prime is 48012531871. The reversal of 48012531840 is 4813521084.

48012531840 is a `hidden beast` number, since 4 + 80 + 1 + 2 + 531 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48012531795 and 48012531804.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29876317 + ... + 29877923.

It is an arithmetic number, because the mean of its divisors is an integer number (215271000).

Almost surely, 2^48012531840 is an apocalyptic number.

48012531840 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 48012531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110218752000).

48012531840 is an abundant number, since it is smaller than the sum of its proper divisors (172424972160).

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

48012531840 is a wasteful number, since it uses less digits than its factorization.

48012531840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 48012531840 in words is "forty-eight billion, twelve million, five hundred thirty-one thousand, eight hundred forty".