32264393925120 has 480 divisors, whose sum is σ = 120012311631168. Its totient is φ = 7373056868352.

The previous prime is 32264393925097. The next prime is 32264393925173. The reversal of 32264393925120 is 2152939346223.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×32264393925120² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2599236034 + ... + 2599248446.

Almost surely, 2^{32264393925120} is an apocalyptic number.

32264393925120 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 32264393925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60006155815584).

32264393925120 is an abundant number, since it is smaller than the sum of its proper divisors (87747917706048).

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

32264393925120 is a wasteful number, since it uses less digits than its factorization.

32264393925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19360 (or 19337 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 51.

The spelling of 32264393925120 in words is "thirty-two trillion, two hundred sixty-four billion, three hundred ninety-three million, nine hundred twenty-five thousand, one hundred twenty".