8905010400 has 1080 divisors, whose sum is σ = 39422679912. Its totient is φ = 1928448000.

The previous prime is 8905010377. The next prime is 8905010417. The reversal of 8905010400 is 40105098.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 287258385 + ... + 287258415.

Almost surely, 2^8905010400 is an apocalyptic number.

8905010400 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 8905010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19711339956).

8905010400 is an abundant number, since it is smaller than the sum of its proper divisors (30517669512).

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

8905010400 is a wasteful number, since it uses less digits than its factorization.

8905010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8905010400 is about 94366.3626511057. The cubic root of 8905010400 is about 2072.7399130430.

Adding to 8905010400 its reverse (40105098), we get a palindrome (8945115498).

The spelling of 8905010400 in words is "eight billion, nine hundred five million, ten thousand, four hundred".