87322398197760 has 1152 divisors, whose sum is σ = 334977828756480. Its totient is φ = 20861278617600.

The previous prime is 87322398197759. The next prime is 87322398197789. The reversal of 87322398197760 is 6779189322378.

87322398197760 is a `hidden beast` number, since 8 + 73 + 22 + 398 + 1 + 97 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40977191895 + ... + 40977194025.

It is an arithmetic number, because the mean of its divisors is an integer number (290779365240).

Almost surely, 2^{87322398197760} is an apocalyptic number.

87322398197760 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 87322398197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167488914378240).

87322398197760 is an abundant number, since it is smaller than the sum of its proper divisors (247655430558720).

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

87322398197760 is a wasteful number, since it uses less digits than its factorization.

87322398197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 87322398197760 in words is "eighty-seven trillion, three hundred twenty-two billion, three hundred ninety-eight million, one hundred ninety-seven thousand, seven hundred sixty".