87013353960 has 192 divisors, whose sum is σ = 304797991680. Its totient is φ = 21401003520.

The previous prime is 87013353937. The next prime is 87013353983. The reversal of 87013353960 is 6935331078.

87013353960 is a `hidden beast` number, since 87 + 0 + 1 + 33 + 539 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87013353937) and next prime (87013353983).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6203355 + ... + 6217365.

It is an arithmetic number, because the mean of its divisors is an integer number (1587489540).

Almost surely, 2^87013353960 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 87013353960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152398995840).

87013353960 is an abundant number, since it is smaller than the sum of its proper divisors (217784637720).

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

87013353960 is a wasteful number, since it uses less digits than its factorization.

87013353960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15368 (or 15361 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 87013353960 in words is "eighty-seven billion, thirteen million, three hundred fifty-three thousand, nine hundred sixty".