87128077326498 has 192 divisors, whose sum is σ = 214248542901120. Its totient is φ = 25368038784000.

The previous prime is 87128077326487. The next prime is 87128077326523. The reversal of 87128077326498 is 89462377082178.

It is a happy number.

87128077326498 is a `hidden beast` number, since 8 + 7 + 128 + 0 + 7 + 7 + 3 + 2 + 6 + 498 = 666.

It is a super-2 number, since 2×87128077326498² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21391620190 + ... + 21391624262.

It is an arithmetic number, because the mean of its divisors is an integer number (1115877827610).

Almost surely, 2^{87128077326498} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87128077326498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107124271450560).

87128077326498 is an abundant number, since it is smaller than the sum of its proper divisors (127120465574622).

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

87128077326498 is a wasteful number, since it uses less digits than its factorization.

87128077326498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8545 (or 8542 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 87128077326498 in words is "eighty-seven trillion, one hundred twenty-eight billion, seventy-seven million, three hundred twenty-six thousand, four hundred ninety-eight".