87206818557600 has 720 divisors, whose sum is σ = 375991753737600. Its totient is φ = 19245639813120.

The previous prime is 87206818557577. The next prime is 87206818557613. The reversal of 87206818557600 is 675581860278.

87206818557600 is a `hidden beast` number, since 8 + 7 + 2 + 0 + 6 + 8 + 18 + 5 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9839661 + ... + 16469139.

It is an arithmetic number, because the mean of its divisors is an integer number (522210769080).

Almost surely, 2^{87206818557600} is an apocalyptic number.

87206818557600 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 87206818557600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187995876868800).

87206818557600 is an abundant number, since it is smaller than the sum of its proper divisors (288784935180000).

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

87206818557600 is a wasteful number, since it uses less digits than its factorization.

87206818557600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6629547 (or 6629525 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 87206818557600 in words is "eighty-seven trillion, two hundred six billion, eight hundred eighteen million, five hundred fifty-seven thousand, six hundred".