87961033440 has 288 divisors, whose sum is σ = 345037807296. Its totient is φ = 19988766720.

The previous prime is 87961033423. The next prime is 87961033441. The reversal of 87961033440 is 4433016978.

87961033440 is a `hidden beast` number, since 87 + 96 + 10 + 33 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (87961033441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1718620 + ... + 1769060.

It is an arithmetic number, because the mean of its divisors is an integer number (1198047942).

Almost surely, 2^87961033440 is an apocalyptic number.

87961033440 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 87961033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172518903648).

87961033440 is an abundant number, since it is smaller than the sum of its proper divisors (257076773856).

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

87961033440 is a wasteful number, since it uses less digits than its factorization.

87961033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50642 (or 50631 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 87961033440 in words is "eighty-seven billion, nine hundred sixty-one million, thirty-three thousand, four hundred forty".