32557140000 has 1680 divisors, whose sum is σ = 154883171520. Its totient is φ = 6531840000.

The previous prime is 32557139969. The next prime is 32557140037. The reversal of 32557140000 is 4175523.

It is a happy number.

32557140000 is a `hidden beast` number, since 3 + 255 + 7 + 1 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 1122659986 + ... + 1122660014.

It is an arithmetic number, because the mean of its divisors is an integer number (92192364).

Almost surely, 2^32557140000 is an apocalyptic number.

32557140000 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 32557140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77441585760).

32557140000 is an abundant number, since it is smaller than the sum of its proper divisors (122326031520).

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

32557140000 is an equidigital number, since it uses as much as digits as its factorization.

32557140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 32557140000 in words is "thirty-two billion, five hundred fifty-seven million, one hundred forty thousand".