87943183896960 has 576 divisors, whose sum is σ = 353299046602320. Its totient is φ = 20099021709312.

The previous prime is 87943183896877. The next prime is 87943183897001. The reversal of 87943183896960 is 6969838134978.

87943183896960 is a `hidden beast` number, since 8 + 7 + 9 + 431 + 8 + 3 + 8 + 96 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 87943183896960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4966568427 + ... + 4966586133.

Almost surely, 2^{87943183896960} is an apocalyptic number.

87943183896960 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 87943183896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176649523301160).

87943183896960 is an abundant number, since it is smaller than the sum of its proper divisors (265355862705360).

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

87943183896960 is a wasteful number, since it uses less digits than its factorization.

87943183896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35343 (or 35321 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

The spelling of 87943183896960 in words is "eighty-seven trillion, nine hundred forty-three billion, one hundred eighty-three million, eight hundred ninety-six thousand, nine hundred sixty".