83215641600 has 1848 divisors, whose sum is σ = 388407605600. Its totient is φ = 17557585920.

The previous prime is 83215641599. The next prime is 83215641623. The reversal of 83215641600 is 614651238.

It is a happy number.

83215641600 is a `hidden beast` number, since 8 + 3 + 2 + 1 + 5 + 6 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6401203194 + ... + 6401203206.

Almost surely, 2^83215641600 is an apocalyptic number.

83215641600 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 83215641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194203802800).

83215641600 is an abundant number, since it is smaller than the sum of its proper divisors (305191964000).

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

83215641600 is an equidigital number, since it uses as much as digits as its factorization.

83215641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 83215641600 in words is "eighty-three billion, two hundred fifteen million, six hundred forty-one thousand, six hundred".