87574705008960 has 896 divisors, whose sum is σ = 316590769668096. Its totient is φ = 20356673863680.

The previous prime is 87574705008937. The next prime is 87574705009021. The reversal of 87574705008960 is 6980050747578.

It is a junction number, because it is equal to n+sod(n) for n = 87574705008891 and 87574705008900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24171873709 + ... + 24171877331.

It is an arithmetic number, because the mean of its divisors is an integer number (353337912576).

Almost surely, 2^{87574705008960} is an apocalyptic number.

87574705008960 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 87574705008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158295384834048).

87574705008960 is an abundant number, since it is smaller than the sum of its proper divisors (229016064659136).

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

87574705008960 is a wasteful number, since it uses less digits than its factorization.

87574705008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 66.

The spelling of 87574705008960 in words is "eighty-seven trillion, five hundred seventy-four billion, seven hundred five million, eight thousand, nine hundred sixty".