32111493120 has 1024 divisors, whose sum is σ = 140423155200. Its totient is φ = 6794772480.

The previous prime is 32111493083. The next prime is 32111493149. The reversal of 32111493120 is 2139411123.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×32111493120² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 526417890 + ... + 526417950.

Almost surely, 2^32111493120 is an apocalyptic number.

32111493120 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 32111493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70211577600).

32111493120 is an abundant number, since it is smaller than the sum of its proper divisors (108311662080).

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

32111493120 is an equidigital number, since it uses as much as digits as its factorization.

32111493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 32111493120 in words is "thirty-two billion, one hundred eleven million, four hundred ninety-three thousand, one hundred twenty".