87896535067264 has 512 divisors, whose sum is σ = 228966414336000. Its totient is φ = 32885918208000.

The previous prime is 87896535067177. The next prime is 87896535067307. The reversal of 87896535067264 is 46276053569878.

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, 4843042062 + ... + 4843060210.

It is an arithmetic number, because the mean of its divisors is an integer number (447200028000).

Almost surely, 2^{87896535067264} 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 87896535067264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114483207168000).

87896535067264 is an abundant number, since it is smaller than the sum of its proper divisors (141069879268736).

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

87896535067264 is a wasteful number, since it uses less digits than its factorization.

87896535067264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18365 (or 18331 counting only the distinct ones).

The product of its (nonzero) digits is 3657830400, while the sum is 76.

The spelling of 87896535067264 in words is "eighty-seven trillion, eight hundred ninety-six billion, five hundred thirty-five million, sixty-seven thousand, two hundred sixty-four".