10295341056 has 1040 divisors, whose sum is σ = 42625701888. Its totient is φ = 2388787200.

The previous prime is 10295341033. The next prime is 10295341061. The reversal of 10295341056 is 65014359201.

10295341056 is a `hidden beast` number, since 10 + 2 + 9 + 534 + 105 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10295341056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 332107761 + ... + 332107791.

Almost surely, 2^10295341056 is an apocalyptic number.

10295341056 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 10295341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21312850944).

10295341056 is an abundant number, since it is smaller than the sum of its proper divisors (32330360832).

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

10295341056 is a wasteful number, since it uses less digits than its factorization.

10295341056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10295341056 in words is "ten billion, two hundred ninety-five million, three hundred forty-one thousand, fifty-six".