10001610000 has 400 divisors, whose sum is σ = 38001585600. Its totient is φ = 2509056000.

The previous prime is 10001609993. The next prime is 10001610001. The reversal of 10001610000 is 1610001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×10001610000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001610001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4588911 + ... + 4591089.

It is an arithmetic number, because the mean of its divisors is an integer number (95003964).

Almost surely, 2^10001610000 is an apocalyptic number.

10001610000 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 10001610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19000792800).

10001610000 is an abundant number, since it is smaller than the sum of its proper divisors (27999975600).

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

10001610000 is a wasteful number, since it uses less digits than its factorization.

10001610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Subtracting from 10001610000 its reverse (1610001), we obtain a palindrome (9999999999).

The spelling of 10001610000 in words is "ten billion, one million, six hundred ten thousand".