32130691200 has 480 divisors, whose sum is σ = 119727643860. Its totient is φ = 8484618240.

The previous prime is 32130691157. The next prime is 32130691249. The reversal of 32130691200 is 219603123.

It can be written as a sum of positive squares in 6 ways, for example, as 1343075904 + 30787615296 = 36648^2 + 175464^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 29289052 + ... + 29290148.

Almost surely, 2^32130691200 is an apocalyptic number.

32130691200 is a gapful number since it is divisible by the number (30) 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 32130691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59863821930).

32130691200 is an abundant number, since it is smaller than the sum of its proper divisors (87596952660).

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

32130691200 is a wasteful number, since it uses less digits than its factorization.

32130691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

It can be divided in two parts, 32 and 130691200, that added together give a 5-th power (130691232 = 42⁵).

The spelling of 32130691200 in words is "thirty-two billion, one hundred thirty million, six hundred ninety-one thousand, two hundred".