900388915200 has 288 divisors, whose sum is σ = 3307293007200. Its totient is φ = 240103342080.

The previous prime is 900388915199. The next prime is 900388915201. The reversal of 900388915200 is 2519883009.

It is a happy number.

900388915200 is a `hidden beast` number, since 9 + 0 + 0 + 38 + 8 + 91 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (900388915199) and next prime (900388915201).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (900388915201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1056739 + ... + 1708061.

It is an arithmetic number, because the mean of its divisors is an integer number (11483656275).

Almost surely, 2^900388915200 is an apocalyptic number.

900388915200 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 900388915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653646503600).

900388915200 is an abundant number, since it is smaller than the sum of its proper divisors (2406904092000).

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

900388915200 is a wasteful number, since it uses less digits than its factorization.

900388915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651364 (or 651333 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 900388915200 in words is "nine hundred billion, three hundred eighty-eight million, nine hundred fifteen thousand, two hundred".