87008614995456 has 1280 divisors, whose sum is σ = 337017423790080. Its totient is φ = 21491046973440.

The previous prime is 87008614995293. The next prime is 87008614995469. The reversal of 87008614995456 is 65459941680078.

87008614995456 is a `hidden beast` number, since 8 + 7 + 0 + 0 + 86 + 1 + 4 + 9 + 95 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4235428321 + ... + 4235448863.

It is an arithmetic number, because the mean of its divisors is an integer number (263294862336).

Almost surely, 2^{87008614995456} 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 87008614995456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168508711895040).

87008614995456 is an abundant number, since it is smaller than the sum of its proper divisors (250008808794624).

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

87008614995456 is a wasteful number, since it uses less digits than its factorization.

87008614995456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20784 (or 20762 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 87008614995456 in words is "eighty-seven trillion, eight billion, six hundred fourteen million, nine hundred ninety-five thousand, four hundred fifty-six".