8101620000 has 360 divisors, whose sum is σ = 29873699856. Its totient is φ = 2159136000.

The previous prime is 8101619983. The next prime is 8101620019. The reversal of 8101620000 is 261018.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4859167 + ... + 4860833.

Almost surely, 2^8101620000 is an apocalyptic number.

8101620000 is a gapful number since it is divisible by the number (80) 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 8101620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14936849928).

8101620000 is an abundant number, since it is smaller than the sum of its proper divisors (21772079856).

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

8101620000 is an equidigital number, since it uses as much as digits as its factorization.

8101620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 8101620000 is about 90008.9995500450. Note that the first 3 decimals coincide. The cubic root of 8101620000 is about 2008.4327279117.

Adding to 8101620000 its reverse (261018), we get a palindrome (8101881018).

The spelling of 8101620000 in words is "eight billion, one hundred one million, six hundred twenty thousand".