32502420502272 has 1296 divisors, whose sum is σ = 118035694838880. Its totient is φ = 8792925732864.

The previous prime is 32502420502267. The next prime is 32502420502303. The reversal of 32502420502272 is 27220502420523.

32502420502272 is a `hidden beast` number, since 3 + 2 + 5 + 0 + 2 + 420 + 5 + 0 + 227 + 2 = 666.

It is a super-2 number, since 2×32502420502272² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15096339148 + ... + 15096341300.

It is an arithmetic number, because the mean of its divisors is an integer number (91076925030).

Almost surely, 2^{32502420502272} is an apocalyptic number.

32502420502272 is a gapful number since it is divisible by the number (32) 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 32502420502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59017847419440).

32502420502272 is an abundant number, since it is smaller than the sum of its proper divisors (85533274336608).

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

32502420502272 is a wasteful number, since it uses less digits than its factorization.

32502420502272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

Adding to 32502420502272 its reverse (27220502420523), we get a palindrome (59722922922795).

The spelling of 32502420502272 in words is "thirty-two trillion, five hundred two billion, four hundred twenty million, five hundred two thousand, two hundred seventy-two".