10802030400 has 840 divisors, whose sum is σ = 46494395200. Its totient is φ = 2469035520.

The previous prime is 10802030377. The next prime is 10802030413. The reversal of 10802030400 is 403020801.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1543147197 + ... + 1543147203.

Almost surely, 2^10802030400 is an apocalyptic number.

10802030400 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 10802030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23247197600).

10802030400 is an abundant number, since it is smaller than the sum of its proper divisors (35692364800).

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

10802030400 is an frugal number, since it uses more digits than its factorization.

10802030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 10802030400 in words is "ten billion, eight hundred two million, thirty thousand, four hundred".