84988757867328 has 1680 divisors, whose sum is σ = 310452041243520. Its totient is φ = 22920137146368.

The previous prime is 84988757867323. The next prime is 84988757867329. The reversal of 84988757867328 is 82376875788948.

It is a happy number.

84988757867328 is a `hidden beast` number, since 8 + 4 + 9 + 8 + 8 + 7 + 578 + 6 + 7 + 3 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84988757867323) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 330695555776 + ... + 330695556032.

Almost surely, 2^{84988757867328} 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 84988757867328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155226020621760).

84988757867328 is an abundant number, since it is smaller than the sum of its proper divisors (225463283376192).

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

84988757867328 is a wasteful number, since it uses less digits than its factorization.

84988757867328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 399 counting only the distinct ones).

The product of its digits is 72831467520, while the sum is 90.

The spelling of 84988757867328 in words is "eighty-four trillion, nine hundred eighty-eight billion, seven hundred fifty-seven million, eight hundred sixty-seven thousand, three hundred twenty-eight".