87345664180992 has 288 divisors, whose sum is σ = 295426287260160. Its totient is φ = 24936435118080.

The previous prime is 87345664180987. The next prime is 87345664181011. The reversal of 87345664180992 is 29908146654378.

87345664180992 is a `hidden beast` number, since 8 + 7 + 3 + 456 + 6 + 4 + 1 + 80 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 87345664180992.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61373142 + ... + 62780202.

It is a 1-persistent number, because it is pandigital, but 2⋅87345664180992 = 174691328361984 is not.

Almost surely, 2^{87345664180992} 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 87345664180992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147713143630080).

87345664180992 is an abundant number, since it is smaller than the sum of its proper divisors (208080623079168).

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

87345664180992 is a wasteful number, since it uses less digits than its factorization.

87345664180992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408376 (or 1408356 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 87345664180992 in words is "eighty-seven trillion, three hundred forty-five billion, six hundred sixty-four million, one hundred eighty thousand, nine hundred ninety-two".