89949314400 has 288 divisors, whose sum is σ = 326202121728. Its totient is φ = 21341644800.

The previous prime is 89949314393. The next prime is 89949314401. The reversal of 89949314400 is 441394998.

It is a happy number.

It is a super-2 number, since 2×89949314400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89949314401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1204554 + ... + 1277046.

It is an arithmetic number, because the mean of its divisors is an integer number (1132646256).

Almost surely, 2^89949314400 is an apocalyptic number.

89949314400 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 89949314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163101060864).

89949314400 is an abundant number, since it is smaller than the sum of its proper divisors (236252807328).

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

89949314400 is a wasteful number, since it uses less digits than its factorization.

89949314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72574 (or 72561 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 89949314400 in words is "eighty-nine billion, nine hundred forty-nine million, three hundred fourteen thousand, four hundred".