10295713008 has 800 divisors, whose sum is σ = 38890368000. Its totient is φ = 2615348736.

The previous prime is 10295712979. The next prime is 10295713093. The reversal of 10295713008 is 80031759201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 194258710 + ... + 194258762.

It is an arithmetic number, because the mean of its divisors is an integer number (48612960).

Almost surely, 2^10295713008 is an apocalyptic number.

10295713008 is a gapful number since it is divisible by the number (18) 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 10295713008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19445184000).

10295713008 is an abundant number, since it is smaller than the sum of its proper divisors (28594654992).

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

10295713008 is a wasteful number, since it uses less digits than its factorization.

10295713008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10295713008 in words is "ten billion, two hundred ninety-five million, seven hundred thirteen thousand, eight".