87095037456 has 240 divisors, whose sum is σ = 294783216000. Its totient is φ = 24883915392.

The previous prime is 87095037409. The next prime is 87095037563. The reversal of 87095037456 is 65473059078.

87095037456 is a `hidden beast` number, since 8 + 70 + 95 + 0 + 37 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1300930 + ... + 1366238.

It is an arithmetic number, because the mean of its divisors is an integer number (1228263400).

Almost surely, 2^87095037456 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 87095037456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147391608000).

87095037456 is an abundant number, since it is smaller than the sum of its proper divisors (207688178544).

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

87095037456 is an equidigital number, since it uses as much as digits as its factorization.

87095037456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65353 (or 65321 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 87095037456 in words is "eighty-seven billion, ninety-five million, thirty-seven thousand, four hundred fifty-six".