910053666900 has 864 divisors, whose sum is σ = 3488716707840. Its totient is φ = 194033664000.

The previous prime is 910053666881. The next prime is 910053666901. The reversal of 910053666900 is 9666350019.

It is a super-2 number, since 2×910053666900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (910053666901) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 712649062 + ... + 712650338.

It is an arithmetic number, because the mean of its divisors is an integer number (4037866560).

Almost surely, 2^910053666900 is an apocalyptic number.

910053666900 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 910053666900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744358353920).

910053666900 is an abundant number, since it is smaller than the sum of its proper divisors (2578663040940).

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

910053666900 is a wasteful number, since it uses less digits than its factorization.

910053666900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 910053666900 in words is "nine hundred ten billion, fifty-three million, six hundred sixty-six thousand, nine hundred".