8200951971800 has 384 divisors, whose sum is σ = 22871187578880. Its totient is φ = 2675635200000.

The previous prime is 8200951971767. The next prime is 8200951971827. The reversal of 8200951971800 is 81791590028.

It is a super-2 number, since 2×8200951971800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1235638082 + ... + 1235644718.

It is an arithmetic number, because the mean of its divisors is an integer number (59560384320).

Almost surely, 2^{8200951971800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8200951971800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11435593789440).

8200951971800 is an abundant number, since it is smaller than the sum of its proper divisors (14670235607080).

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

8200951971800 is a wasteful number, since it uses less digits than its factorization.

8200951971800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7163 (or 7154 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 50.

The spelling of 8200951971800 in words is "eight trillion, two hundred billion, nine hundred fifty-one million, nine hundred seventy-one thousand, eight hundred".