87295454488896 has 448 divisors, whose sum is σ = 248818861670400. Its totient is φ = 26954853359616.

The previous prime is 87295454488889. The next prime is 87295454488909. The reversal of 87295454488896 is 69888445459278.

It is a Harshad number since it is a multiple of its sum of digits (87).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14436156145 + ... + 14436162191.

It is an arithmetic number, because the mean of its divisors is an integer number (555399244800).

Almost surely, 2^{87295454488896} 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 87295454488896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124409430835200).

87295454488896 is an abundant number, since it is smaller than the sum of its proper divisors (161523407181504).

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

87295454488896 is a wasteful number, since it uses less digits than its factorization.

87295454488896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7094 (or 7084 counting only the distinct ones).

The product of its digits is 44590694400, while the sum is 87.

The spelling of 87295454488896 in words is "eighty-seven trillion, two hundred ninety-five billion, four hundred fifty-four million, four hundred eighty-eight thousand, eight hundred ninety-six".