32403055104 has 320 divisors, whose sum is σ = 110715770880. Its totient is φ = 9165312000.

The previous prime is 32403055093. The next prime is 32403055117. The reversal of 32403055104 is 40155030423.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 9965479 + ... + 9968729.

It is an arithmetic number, because the mean of its divisors is an integer number (345986784).

Almost surely, 2^32403055104 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 32403055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55357885440).

32403055104 is an abundant number, since it is smaller than the sum of its proper divisors (78312715776).

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

32403055104 is a wasteful number, since it uses less digits than its factorization.

32403055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 32403055104 its reverse (40155030423), we get a palindrome (72558085527).

The spelling of 32403055104 in words is "thirty-two billion, four hundred three million, fifty-five thousand, one hundred four".