654005010000 has 400 divisors, whose sum is σ = 2134894215168. Its totient is φ = 172459200000.

The previous prime is 654005009993. The next prime is 654005010007. The reversal of 654005010000 is 10500456.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (654005009993) and next prime (654005010007).

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654005010007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1782029817 + ... + 1782030183.

Almost surely, 2^654005010000 is an apocalyptic number.

654005010000 is a gapful number since it is divisible by the number (60) 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 654005010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067447107584).

654005010000 is an abundant number, since it is smaller than the sum of its proper divisors (1480889205168).

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

654005010000 is a wasteful number, since it uses less digits than its factorization.

654005010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 654005010000 its reverse (10500456), we get a palindrome (654015510456).

The spelling of 654005010000 in words is "six hundred fifty-four billion, five million, ten thousand".