900287552736 has 288 divisors, whose sum is σ = 3031479779328. Its totient is φ = 249844331520.

The previous prime is 900287552693. The next prime is 900287552741. The reversal of 900287552736 is 637255782009.

900287552736 is a `hidden beast` number, since 9 + 0 + 0 + 2 + 87 + 5 + 527 + 36 = 666.

900287552736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×900287552736² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5144305 + ... + 5316431.

It is an arithmetic number, because the mean of its divisors is an integer number (10525971456).

Almost surely, 2^900287552736 is an apocalyptic number.

900287552736 is a gapful number since it is divisible by the number (96) 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 900287552736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515739889664).

900287552736 is an abundant number, since it is smaller than the sum of its proper divisors (2131192226592).

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

900287552736 is a wasteful number, since it uses less digits than its factorization.

900287552736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172294 (or 172283 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 900287552736 in words is "nine hundred billion, two hundred eighty-seven million, five hundred fifty-two thousand, seven hundred thirty-six".