88029819900 has 720 divisors, whose sum is σ = 333825196320. Its totient is φ = 19829145600.

The previous prime is 88029819887. The next prime is 88029819907. The reversal of 88029819900 is 991892088.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88029819907) 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, 134807974 + ... + 134808626.

It is an arithmetic number, because the mean of its divisors is an integer number (463646106).

Almost surely, 2^88029819900 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 88029819900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166912598160).

88029819900 is an abundant number, since it is smaller than the sum of its proper divisors (245795376420).

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

88029819900 is a wasteful number, since it uses less digits than its factorization.

88029819900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 88029819900 in words is "eighty-eight billion, twenty-nine million, eight hundred nineteen thousand, nine hundred".