89952006400 has 243 divisors, whose sum is σ = 234183031509. Its totient is φ = 34205276160.

The previous prime is 89952006373. The next prime is 89952006503. The reversal of 89952006400 is 460025998.

The square root of 89952006400 is 299920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32382722304 + 57569284096 = 179952^2 + 239936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 551852719 + ... + 551852881.

Almost surely, 2^89952006400 is an apocalyptic number.

89952006400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89952006400 is the 299920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89952006400

89952006400 is an abundant number, since it is smaller than the sum of its proper divisors (144231025109).

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

89952006400 is an equidigital number, since it uses as much as digits as its factorization.

89952006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 89952006400 in words is "eighty-nine billion, nine hundred fifty-two million, six thousand, four hundred".