87095400000 has 672 divisors, whose sum is σ = 334306103040. Its totient is φ = 19599360000.

The previous prime is 87095399969. The next prime is 87095400001. The reversal of 87095400000 is 459078.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (87095400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373799884 + ... + 373800116.

It is an arithmetic number, because the mean of its divisors is an integer number (497479320).

Almost surely, 2^87095400000 is an apocalyptic number.

87095400000 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 87095400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167153051520).

87095400000 is an abundant number, since it is smaller than the sum of its proper divisors (247210703040).

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

87095400000 is an equidigital number, since it uses as much as digits as its factorization.

87095400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

Adding to 87095400000 its reverse (459078), we get a palindrome (87095859078).

The spelling of 87095400000 in words is "eighty-seven billion, ninety-five million, four hundred thousand".