10295955600 has 480 divisors, whose sum is σ = 40976424960. Its totient is φ = 2156544000.

The previous prime is 10295955557. The next prime is 10295955617. The reversal of 10295955600 is 655959201.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4946560 + ... + 4948640.

It is an arithmetic number, because the mean of its divisors is an integer number (85367552).

Almost surely, 2^10295955600 is an apocalyptic number.

10295955600 is a gapful number since it is divisible by the number (10) 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 10295955600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20488212480).

10295955600 is an abundant number, since it is smaller than the sum of its proper divisors (30680469360).

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

10295955600 is a wasteful number, since it uses less digits than its factorization.

10295955600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 42.

The spelling of 10295955600 in words is "ten billion, two hundred ninety-five million, nine hundred fifty-five thousand, six hundred".