88921701792 has 1152 divisors, whose sum is σ = 349090560000. Its totient is φ = 21215416320.

The previous prime is 88921701767. The next prime is 88921701821. The reversal of 88921701792 is 29710712988.

It is a super-2 number, since 2×88921701792² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1218105468 + ... + 1218105540.

It is an arithmetic number, because the mean of its divisors is an integer number (303030000).

Almost surely, 2^88921701792 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 88921701792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174545280000).

88921701792 is an abundant number, since it is smaller than the sum of its proper divisors (260168858208).

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

88921701792 is a wasteful number, since it uses less digits than its factorization.

88921701792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 88921701792 in words is "eighty-eight billion, nine hundred twenty-one million, seven hundred one thousand, seven hundred ninety-two".