10020032000 has 320 divisors, whose sum is σ = 27975138048. Its totient is φ = 3548160000.

The previous prime is 10020031969. The next prime is 10020032021. The reversal of 10020032000 is 23002001.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30271835 + ... + 30272165.

Almost surely, 2^10020032000 is an apocalyptic number.

10020032000 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 10020032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13987569024).

10020032000 is an abundant number, since it is smaller than the sum of its proper divisors (17955106048).

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

10020032000 is an equidigital number, since it uses as much as digits as its factorization.

10020032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 10020032000 its reverse (23002001), we get a palindrome (10043034001).

The spelling of 10020032000 in words is "ten billion, twenty million, thirty-two thousand".