99457972200 has 480 divisors, whose sum is σ = 356766462360. Its totient is φ = 25662873600.

The previous prime is 99457972199. The next prime is 99457972217. The reversal of 99457972200 is 227975499.

It can be written as a sum of positive squares in 12 ways, for example, as 11366544996 + 88091427204 = 106614^2 + 296802^2 .

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

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 119 ways as a sum of consecutive naturals, for example, 90994854 + ... + 90995946.

Almost surely, 2^99457972200 is an apocalyptic number.

99457972200 is a gapful number since it is divisible by the number (90) 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 99457972200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178383231180).

99457972200 is an abundant number, since it is smaller than the sum of its proper divisors (257308490160).

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

99457972200 is a wasteful number, since it uses less digits than its factorization.

99457972200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 99457972200 in words is "ninety-nine billion, four hundred fifty-seven million, nine hundred seventy-two thousand, two hundred".