10495296000 has 960 divisors, whose sum is σ = 45808139520. Its totient is φ = 2256076800.

The previous prime is 10495295999. The next prime is 10495296029. The reversal of 10495296000 is 69259401.

10495296000 is a `hidden beast` number, since 1 + 0 + 49 + 5 + 2 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10495296000² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 76607932 + ... + 76608068.

It is an arithmetic number, because the mean of its divisors is an integer number (47716812).

Almost surely, 2^10495296000 is an apocalyptic number.

10495296000 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 10495296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22904069760).

10495296000 is an abundant number, since it is smaller than the sum of its proper divisors (35312843520).

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

10495296000 is a wasteful number, since it uses less digits than its factorization.

10495296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10495296000 in words is "ten billion, four hundred ninety-five million, two hundred ninety-six thousand".