87012095199744 has 640 divisors, whose sum is σ = 281173683732480. Its totient is φ = 23558130892800.

The previous prime is 87012095199719. The next prime is 87012095199749. The reversal of 87012095199744 is 44799159021078.

It is a super-3 number, since 3×87012095199744³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (87012095199749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1143669097 + ... + 1143745175.

It is an arithmetic number, because the mean of its divisors is an integer number (439333880832).

Almost surely, 2^{87012095199744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87012095199744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140586841866240).

87012095199744 is an abundant number, since it is smaller than the sum of its proper divisors (194161588532736).

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

87012095199744 is a wasteful number, since it uses less digits than its factorization.

87012095199744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76292 (or 76276 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 66.

The spelling of 87012095199744 in words is "eighty-seven trillion, twelve billion, ninety-five million, one hundred ninety-nine thousand, seven hundred forty-four".