8161972200 has 144 divisors (see below), whose sum is σ = 27531710700. Its totient is φ = 2166912000.

The previous prime is 8161972183. The next prime is 8161972223. The reversal of 8161972200 is 22791618.

It can be written as a sum of positive squares in 6 ways, for example, as 1986841476 + 6175130724 = 44574^2 + 78582^2 .

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 35 ways as a sum of consecutive naturals, for example, 402300 + ... + 422100.

Almost surely, 2^8161972200 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 8161972200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13765855350).

8161972200 is an abundant number, since it is smaller than the sum of its proper divisors (19369738500).

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

8161972200 is a wasteful number, since it uses less digits than its factorization.

8161972200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20052 (or 20040 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 8161972200 is about 90343.6339760583. The cubic root of 8161972200 is about 2013.4076006063.

The spelling of 8161972200 in words is "eight billion, one hundred sixty-one million, nine hundred seventy-two thousand, two hundred".