900600247872 has 224 divisors, whose sum is σ = 2860568726400. Its totient is φ = 276203022336.

The previous prime is 900600247861. The next prime is 900600247909. The reversal of 900600247872 is 278742006009.

It is a super-2 number, since 2×900600247872² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6831154 + ... + 6961742.

It is an arithmetic number, because the mean of its divisors is an integer number (12770396100).

Almost surely, 2^900600247872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900600247872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430284363200).

900600247872 is an abundant number, since it is smaller than the sum of its proper divisors (1959968478528).

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

900600247872 is a wasteful number, since it uses less digits than its factorization.

900600247872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130930 (or 130914 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 900600247872 in words is "nine hundred billion, six hundred million, two hundred forty-seven thousand, eight hundred seventy-two".