32053190400 has 1620 divisors, whose sum is σ = 150918094096. Its totient is φ = 6569164800.

The previous prime is 32053190363. The next prime is 32053190417. The reversal of 32053190400 is 409135023.

32053190400 is a `hidden beast` number, since 3 + 2 + 0 + 531 + 90 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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 (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 439084764 + ... + 439084836.

Almost surely, 2^32053190400 is an apocalyptic number.

32053190400 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 32053190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75459047048).

32053190400 is an abundant number, since it is smaller than the sum of its proper divisors (118864903696).

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

32053190400 is a wasteful number, since it uses less digits than its factorization.

32053190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 32053190400 in words is "thirty-two billion, fifty-three million, one hundred ninety thousand, four hundred".