87140851920000 has 1280 divisors, whose sum is σ = 337755536131200. Its totient is φ = 22082844672000.

The previous prime is 87140851919971. The next prime is 87140851920007. The reversal of 87140851920000 is 2915804178.

87140851920000 is a `hidden beast` number, since 8 + 71 + 40 + 8 + 519 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87140851920007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3436547322 + ... + 3436572678.

Almost surely, 2^{87140851920000} is an apocalyptic number.

87140851920000 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 87140851920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168877768065600).

87140851920000 is an abundant number, since it is smaller than the sum of its proper divisors (250614684211200).

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

87140851920000 is a wasteful number, since it uses less digits than its factorization.

87140851920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25480 (or 25447 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 87140851920000 in words is "eighty-seven trillion, one hundred forty billion, eight hundred fifty-one million, nine hundred twenty thousand".