10285074954 has 320 divisors, whose sum is σ = 29988237312. Its totient is φ = 2557526400.

The previous prime is 10285074949. The next prime is 10285074971. The reversal of 10285074954 is 45947058201.

10285074954 is a `hidden beast` number, since 102 + 8 + 50 + 7 + 495 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31072569 + ... + 31072899.

Almost surely, 2^10285074954 is an apocalyptic number.

10285074954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10285074954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14994118656).

10285074954 is an abundant number, since it is smaller than the sum of its proper divisors (19703162358).

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

10285074954 is a wasteful number, since it uses less digits than its factorization.

10285074954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10285074954 in words is "ten billion, two hundred eighty-five million, seventy-four thousand, nine hundred fifty-four".