87453175254624 has 480 divisors, whose sum is σ = 268248542994432. Its totient is φ = 27919416960000.

The previous prime is 87453175254553. The next prime is 87453175254637. The reversal of 87453175254624 is 42645257135478.

87453175254624 is a `hidden beast` number, since 8 + 7 + 4 + 5 + 3 + 17 + 52 + 546 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3288070894 + ... + 3288097490.

Almost surely, 2^{87453175254624} 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 87453175254624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134124271497216).

87453175254624 is an abundant number, since it is smaller than the sum of its proper divisors (180795367739808).

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

87453175254624 is a wasteful number, since it uses less digits than its factorization.

87453175254624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27072 (or 27055 counting only the distinct ones).

The product of its digits is 225792000, while the sum is 63.

The spelling of 87453175254624 in words is "eighty-seven trillion, four hundred fifty-three billion, one hundred seventy-five million, two hundred fifty-four thousand, six hundred twenty-four".