87214652743680 has 4032 divisors, whose sum is σ = 406341095408640. Its totient is φ = 17674264903680.

The previous prime is 87214652743661. The next prime is 87214652743681. The reversal of 87214652743680 is 8634725641278.

87214652743680 is a `hidden beast` number, since 8 + 7 + 2 + 1 + 4 + 6 + 527 + 43 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87214652743681) 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 287 ways as a sum of consecutive naturals, for example, 308178984819 + ... + 308178985101.

It is an arithmetic number, because the mean of its divisors is an integer number (100779041520).

Almost surely, 2^{87214652743680} is an apocalyptic number.

87214652743680 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 87214652743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203170547704320).

87214652743680 is an abundant number, since it is smaller than the sum of its proper divisors (319126442664960).

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

87214652743680 is a wasteful number, since it uses less digits than its factorization.

87214652743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 87214652743680 in words is "eighty-seven trillion, two hundred fourteen billion, six hundred fifty-two million, seven hundred forty-three thousand, six hundred eighty".