87631165440 has 1536 divisors, whose sum is σ = 397145548800. Its totient is φ = 18059231232.

The previous prime is 87631165439. The next prime is 87631165441. The reversal of 87631165440 is 4456113678.

87631165440 is a `hidden beast` number, since 8 + 7 + 631 + 1 + 6 + 5 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87631165439) and next prime (87631165441).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87631165441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2037934059 + ... + 2037934101.

It is an arithmetic number, because the mean of its divisors is an integer number (258558300).

Almost surely, 2^87631165440 is an apocalyptic number.

87631165440 is a gapful number since it is divisible by the number (80) 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 87631165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198572774400).

87631165440 is an abundant number, since it is smaller than the sum of its proper divisors (309514383360).

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

87631165440 is an equidigital number, since it uses as much as digits as its factorization.

87631165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 87631165440 in words is "eighty-seven billion, six hundred thirty-one million, one hundred sixty-five thousand, four hundred forty".