88086398400 has 2520 divisors, whose sum is σ = 447055042896. Its totient is φ = 16721510400.

The previous prime is 88086398369. The next prime is 88086398417. The reversal of 88086398400 is 489368088.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 908107152 + ... + 908107248.

Almost surely, 2^88086398400 is an apocalyptic number.

88086398400 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 88086398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223527521448).

88086398400 is an abundant number, since it is smaller than the sum of its proper divisors (358968644496).

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

88086398400 is a wasteful number, since it uses less digits than its factorization.

88086398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 88086398400 in words is "eighty-eight billion, eighty-six million, three hundred ninety-eight thousand, four hundred".