87008553477616 has 160 divisors (see below), whose sum is σ = 180973949068800. Its totient is φ = 40433713152000.

The previous prime is 87008553477613. The next prime is 87008553477653. The reversal of 87008553477616 is 61677435580078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87008553477613) 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, 2480201196 + ... + 2480236276.

It is an arithmetic number, because the mean of its divisors is an integer number (1131087181680).

Almost surely, 2^{87008553477616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87008553477616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90486974534400).

87008553477616 is an abundant number, since it is smaller than the sum of its proper divisors (93965395591184).

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

87008553477616 is a wasteful number, since it uses less digits than its factorization.

87008553477616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36059 (or 36053 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 67.

The spelling of 87008553477616 in words is "eighty-seven trillion, eight billion, five hundred fifty-three million, four hundred seventy-seven thousand, six hundred sixteen".