900809532000 has 3456 divisors, whose sum is σ = 4402692403200. Its totient is φ = 177666048000.

The previous prime is 900809531959. The next prime is 900809532001. The reversal of 900809532000 is 235908009.

It is a super-2 number, since 2×900809532000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900809532001) 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 575 ways as a sum of consecutive naturals, for example, 29058371985 + ... + 29058372015.

It is an arithmetic number, because the mean of its divisors is an integer number (1273927200).

Almost surely, 2^900809532000 is an apocalyptic number.

900809532000 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 900809532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201346201600).

900809532000 is an abundant number, since it is smaller than the sum of its proper divisors (3501882871200).

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

900809532000 is a wasteful number, since it uses less digits than its factorization.

900809532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

It can be divided in two parts, 900809 and 532000, that added together give a square (1432809 = 1197²).

The spelling of 900809532000 in words is "nine hundred billion, eight hundred nine million, five hundred thirty-two thousand".