905251027968 has 264 divisors, whose sum is σ = 2993494807680. Its totient is φ = 258107351040.

The previous prime is 905251027931. The next prime is 905251027979. The reversal of 905251027968 is 869720152509.

905251027968 is a `hidden beast` number, since 9 + 0 + 52 + 510 + 2 + 79 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31661103 + ... + 31689681.

Almost surely, 2^905251027968 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 905251027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496747403840).

905251027968 is an abundant number, since it is smaller than the sum of its proper divisors (2088243779712).

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

905251027968 is a wasteful number, since it uses less digits than its factorization.

905251027968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29103 (or 29082 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 905251027968 in words is "nine hundred five billion, two hundred fifty-one million, twenty-seven thousand, nine hundred sixty-eight".