10025854782336 has 192 divisors, whose sum is σ = 29121990440400. Its totient is φ = 3310510694400.

The previous prime is 10025854782331. The next prime is 10025854782343. The reversal of 10025854782336 is 63328745852001.

10025854782336 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 585 + 4 + 7 + 8 + 23 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10025854782331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 810032980 + ... + 810045356.

Almost surely, 2^{10025854782336} is an apocalyptic number.

10025854782336 is a gapful number since it is divisible by the number (16) 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 10025854782336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14560995220200).

10025854782336 is an abundant number, since it is smaller than the sum of its proper divisors (19096135658064).

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

10025854782336 is a wasteful number, since it uses less digits than its factorization.

10025854782336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18957 (or 18942 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 10025854782336 in words is "ten trillion, twenty-five billion, eight hundred fifty-four million, seven hundred eighty-two thousand, three hundred thirty-six".