8706187580400 has 720 divisors, whose sum is σ = 33491387913984. Its totient is φ = 2083167313920.

The previous prime is 8706187580353. The next prime is 8706187580407. The reversal of 8706187580400 is 40857816078.

It is a happy number.

8706187580400 is a `hidden beast` number, since 8 + 7 + 0 + 6 + 18 + 7 + 580 + 40 + 0 = 666.

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

It is a super-3 number, since 3×8706187580400³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8706187580407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 432123127 + ... + 432143273.

Almost surely, 2^{8706187580400} is an apocalyptic number.

8706187580400 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 8706187580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16745693956992).

8706187580400 is an abundant number, since it is smaller than the sum of its proper divisors (24785200333584).

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

8706187580400 is a wasteful number, since it uses less digits than its factorization.

8706187580400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20518 (or 20504 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 8706187580400 in words is "eight trillion, seven hundred six billion, one hundred eighty-seven million, five hundred eighty thousand, four hundred".