10499428800 has 252 divisors, whose sum is σ = 42648922576. Its totient is φ = 2399846400.

The previous prime is 10499428799. The next prime is 10499428811. The reversal of 10499428800 is 882499401.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×10499428800² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48720 + ... + 152880.

Almost surely, 2^10499428800 is an apocalyptic number.

10499428800 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 10499428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21324461288).

10499428800 is an abundant number, since it is smaller than the sum of its proper divisors (32149493776).

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

10499428800 is a wasteful number, since it uses less digits than its factorization.

10499428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104196 (or 104178 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10499428800 in words is "ten billion, four hundred ninety-nine million, four hundred twenty-eight thousand, eight hundred".