899599100400 has 2880 divisors, whose sum is σ = 4465175639040. Its totient is φ = 166916505600.

The previous prime is 899599100383. The next prime is 899599100453. The reversal of 899599100400 is 4001995998.

899599100400 is a `hidden beast` number, since 8 + 9 + 9 + 599 + 1 + 0 + 0 + 40 + 0 = 666.

It is a super-3 number, since 3×899599100400³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5199994714 + ... + 5199994886.

It is an arithmetic number, because the mean of its divisors is an integer number (1550408208).

Almost surely, 2^899599100400 is an apocalyptic number.

899599100400 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 899599100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232587819520).

899599100400 is an abundant number, since it is smaller than the sum of its proper divisors (3565576538640).

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

899599100400 is a wasteful number, since it uses less digits than its factorization.

899599100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

It can be divided in two parts, 899599 and 100400, that added together give a palindrome (999999).

The spelling of 899599100400 in words is "eight hundred ninety-nine billion, five hundred ninety-nine million, one hundred thousand, four hundred".