87294203200512 has 1320 divisors, whose sum is σ = 328074390483840. Its totient is φ = 22631502643200.

The previous prime is 87294203200447. The next prime is 87294203200517. The reversal of 87294203200512 is 21500230249278.

87294203200512 is a `hidden beast` number, since 8 + 7 + 2 + 9 + 420 + 3 + 200 + 5 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (87294203200517) 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 119 ways as a sum of consecutive naturals, for example, 58942742812 + ... + 58942744292.

It is an arithmetic number, because the mean of its divisors is an integer number (248541204912).

Almost surely, 2^{87294203200512} 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 87294203200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164037195241920).

87294203200512 is an abundant number, since it is smaller than the sum of its proper divisors (240780187283328).

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

87294203200512 is a wasteful number, since it uses less digits than its factorization.

87294203200512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 87294203200512 in words is "eighty-seven trillion, two hundred ninety-four billion, two hundred three million, two hundred thousand, five hundred twelve".