88876128676500 has 672 divisors, whose sum is σ = 318303625086720. Its totient is φ = 21489963552000.

The previous prime is 88876128676499. The next prime is 88876128676507. The reversal of 88876128676500 is 567682167888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88876128676507) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1559667009 + ... + 1559723991.

It is an arithmetic number, because the mean of its divisors is an integer number (473666108760).

Almost surely, 2^{88876128676500} 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 88876128676500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159151812543360).

88876128676500 is an abundant number, since it is smaller than the sum of its proper divisors (229427496410220).

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

88876128676500 is a wasteful number, since it uses less digits than its factorization.

88876128676500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57420 (or 57393 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 88876128676500 in words is "eighty-eight trillion, eight hundred seventy-six billion, one hundred twenty-eight million, six hundred seventy-six thousand, five hundred".