88249543200 has 2304 divisors, whose sum is σ = 440971776000. Its totient is φ = 16482631680.

The previous prime is 88249543177. The next prime is 88249543303. The reversal of 88249543200 is 234594288.

88249543200 is a `hidden beast` number, since 8 + 82 + 4 + 9 + 543 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 634888731 + ... + 634888869.

It is an arithmetic number, because the mean of its divisors is an integer number (191394000).

Almost surely, 2^88249543200 is an apocalyptic number.

88249543200 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 88249543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220485888000).

88249543200 is an abundant number, since it is smaller than the sum of its proper divisors (352722232800).

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

88249543200 is a wasteful number, since it uses less digits than its factorization.

88249543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 88249543200 in words is "eighty-eight billion, two hundred forty-nine million, five hundred forty-three thousand, two hundred".