900800138592 has 192 divisors, whose sum is σ = 2650842754560. Its totient is φ = 297591823872.

The previous prime is 900800138573. The next prime is 900800138603. The reversal of 900800138592 is 295831008009.

It is a happy number.

It is a super-2 number, since 2×900800138592² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44754643 + ... + 44774765.

It is an arithmetic number, because the mean of its divisors is an integer number (13806472680).

Almost surely, 2^900800138592 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 900800138592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325421377280).

900800138592 is an abundant number, since it is smaller than the sum of its proper divisors (1750042615968).

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

900800138592 is a wasteful number, since it uses less digits than its factorization.

900800138592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20602 (or 20588 counting only the distinct ones).

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

The spelling of 900800138592 in words is "nine hundred billion, eight hundred million, one hundred thirty-eight thousand, five hundred ninety-two".