89199079200 has 1728 divisors, whose sum is σ = 417663267840. Its totient is φ = 18040320000.

The previous prime is 89199079199. The next prime is 89199079303. The reversal of 89199079200 is 297099198.

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

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, 883159150 + ... + 883159250.

It is an arithmetic number, because the mean of its divisors is an integer number (241703280).

Almost surely, 2^89199079200 is an apocalyptic number.

89199079200 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 89199079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208831633920).

89199079200 is an abundant number, since it is smaller than the sum of its proper divisors (328464188640).

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

89199079200 is a wasteful number, since it uses less digits than its factorization.

89199079200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 89199079200 in words is "eighty-nine billion, one hundred ninety-nine million, seventy-nine thousand, two hundred".