87830548992 has 320 divisors, whose sum is σ = 267846606720. Its totient is φ = 28400025600.

The previous prime is 87830548991. The next prime is 87830549017. The reversal of 87830548992 is 29984503878.

87830548992 is a `hidden beast` number, since 8 + 7 + 83 + 0 + 548 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×87830548992² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87830548991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136594623 + ... + 136595265.

It is an arithmetic number, because the mean of its divisors is an integer number (837020646).

Almost surely, 2^87830548992 is an apocalyptic number.

87830548992 is a gapful number since it is divisible by the number (82) 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 87830548992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133923303360).

87830548992 is an abundant number, since it is smaller than the sum of its proper divisors (180016057728).

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

87830548992 is a wasteful number, since it uses less digits than its factorization.

87830548992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 87830548992 in words is "eighty-seven billion, eight hundred thirty million, five hundred forty-eight thousand, nine hundred ninety-two".