10495396800 has 840 divisors, whose sum is σ = 46098049536. Its totient is φ = 2290083840.

The previous prime is 10495396739. The next prime is 10495396817. The reversal of 10495396800 is 869359401.

It is a happy number.

10495396800 is a `hidden beast` number, since 10 + 49 + 539 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×10495396800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20865349 + ... + 20865851.

Almost surely, 2^10495396800 is an apocalyptic number.

10495396800 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 10495396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23049024768).

10495396800 is an abundant number, since it is smaller than the sum of its proper divisors (35602652736).

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

10495396800 is a wasteful number, since it uses less digits than its factorization.

10495396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10495396800 in words is "ten billion, four hundred ninety-five million, three hundred ninety-six thousand, eight hundred".