32426066050560 has 5120 divisors, whose sum is σ = 156805963776000. Its totient is φ = 6163920322560.

The previous prime is 32426066050541. The next prime is 32426066050579. The reversal of 32426066050560 is 6505066062423.

32426066050560 is a `hidden beast` number, since 3 + 2 + 4 + 26 + 0 + 6 + 60 + 5 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (32426066050541) and next prime (32426066050579).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 247527221695 + ... + 247527221825.

It is an arithmetic number, because the mean of its divisors is an integer number (30626164800).

Almost surely, 2^{32426066050560} is an apocalyptic number.

32426066050560 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 32426066050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78402981888000).

32426066050560 is an abundant number, since it is smaller than the sum of its proper divisors (124379897725440).

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

32426066050560 is a wasteful number, since it uses less digits than its factorization.

32426066050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 32426066050560 in words is "thirty-two trillion, four hundred twenty-six billion, sixty-six million, fifty thousand, five hundred sixty".