87362301006800 has 120 divisors (see below), whose sum is σ = 213376250040000. Its totient is φ = 34365880074240.

The previous prime is 87362301006737. The next prime is 87362301006817. The reversal of 87362301006800 is 860010326378.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13332176 + ... + 18774224.

It is an arithmetic number, because the mean of its divisors is an integer number (1778135417000).

Almost surely, 2^{87362301006800} is an apocalyptic number.

87362301006800 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 87362301006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106688125020000).

87362301006800 is an abundant number, since it is smaller than the sum of its proper divisors (126013949033200).

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

87362301006800 is a wasteful number, since it uses less digits than its factorization.

87362301006800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442733 (or 5442722 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 87362301006800 in words is "eighty-seven trillion, three hundred sixty-two billion, three hundred one million, six thousand, eight hundred".