87806180000 has 960 divisors, whose sum is σ = 292931831808. Its totient is φ = 25090560000.

The previous prime is 87806179991. The next prime is 87806180009. The reversal of 87806180000 is 8160878.

It is an interprime number because it is at equal distance from previous prime (87806179991) and next prime (87806180009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87806180009) 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 159 ways as a sum of consecutive naturals, for example, 1310539967 + ... + 1310540033.

Almost surely, 2^87806180000 is an apocalyptic number.

87806180000 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 87806180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146465915904).

87806180000 is an abundant number, since it is smaller than the sum of its proper divisors (205125651808).

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

87806180000 is a wasteful number, since it uses less digits than its factorization.

87806180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The spelling of 87806180000 in words is "eighty-seven billion, eight hundred six million, one hundred eighty thousand".