10420533200 has 240 divisors, whose sum is σ = 31392502656. Its totient is φ = 3229286400.

The previous prime is 10420533187. The next prime is 10420533217. The reversal of 10420533200 is 233502401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5943524 + ... + 5945276.

Almost surely, 2^10420533200 is an apocalyptic number.

10420533200 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 10420533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696251328).

10420533200 is an abundant number, since it is smaller than the sum of its proper divisors (20971969456).

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

10420533200 is a wasteful number, since it uses less digits than its factorization.

10420533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The spelling of 10420533200 in words is "ten billion, four hundred twenty million, five hundred thirty-three thousand, two hundred".