87427975053456 has 1280 divisors, whose sum is σ = 297674847590400. Its totient is φ = 24387542581248.

The previous prime is 87427975053437. The next prime is 87427975053509. The reversal of 87427975053456 is 65435057972478.

87427975053456 is a `hidden beast` number, since 8 + 7 + 4 + 2 + 79 + 7 + 50 + 53 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17580527386 + ... + 17580532358.

It is an arithmetic number, because the mean of its divisors is an integer number (232558474680).

Almost surely, 2^{87427975053456} 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 87427975053456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148837423795200).

87427975053456 is an abundant number, since it is smaller than the sum of its proper divisors (210246872536944).

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

87427975053456 is a wasteful number, since it uses less digits than its factorization.

87427975053456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5193 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 1778112000, while the sum is 72.

The spelling of 87427975053456 in words is "eighty-seven trillion, four hundred twenty-seven billion, nine hundred seventy-five million, fifty-three thousand, four hundred fifty-six".