88171253856 has 216 divisors, whose sum is σ = 301732769520. Its totient is φ = 24322991616.

The previous prime is 88171253843. The next prime is 88171253861. The reversal of 88171253856 is 65835217188.

88171253856 is a `hidden beast` number, since 88 + 17 + 12 + 538 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 301525 + ... + 516971.

It is an arithmetic number, because the mean of its divisors is an integer number (1396910970).

Almost surely, 2^88171253856 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 88171253856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150866384760).

88171253856 is an abundant number, since it is smaller than the sum of its proper divisors (213561515664).

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

88171253856 is a wasteful number, since it uses less digits than its factorization.

88171253856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215506 (or 215488 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 88171253856 in words is "eighty-eight billion, one hundred seventy-one million, two hundred fifty-three thousand, eight hundred fifty-six".