88291869120 has 2016 divisors, whose sum is σ = 426869352000. Its totient is φ = 16498556928.

The previous prime is 88291869067. The next prime is 88291869161. The reversal of 88291869120 is 2196819288.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 592562806 + ... + 592562954.

It is an arithmetic number, because the mean of its divisors is an integer number (211740750).

Almost surely, 2^88291869120 is an apocalyptic number.

88291869120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88291869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213434676000).

88291869120 is an abundant number, since it is smaller than the sum of its proper divisors (338577482880).

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

88291869120 is a wasteful number, since it uses less digits than its factorization.

88291869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 88291869120 in words is "eighty-eight billion, two hundred ninety-one million, eight hundred sixty-nine thousand, one hundred twenty".