32397162855120 has 3840 divisors, whose sum is σ = 146214641664000. Its totient is φ = 6636767477760.

The previous prime is 32397162855067. The next prime is 32397162855157. The reversal of 32397162855120 is 2155826179323.

32397162855120 is a `hidden beast` number, since 3 + 2 + 3 + 9 + 7 + 1 + 62 + 8 + 551 + 20 = 666.

It is a super-2 number, since 2×32397162855120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 767 ways as a sum of consecutive naturals, for example, 286700556184 + ... + 286700556296.

It is an arithmetic number, because the mean of its divisors is an integer number (38076729600).

Almost surely, 2^{32397162855120} is an apocalyptic number.

32397162855120 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 32397162855120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73107320832000).

32397162855120 is an abundant number, since it is smaller than the sum of its proper divisors (113817478808880).

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

32397162855120 is a wasteful number, since it uses less digits than its factorization.

32397162855120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 32397162855120 in words is "thirty-two trillion, three hundred ninety-seven billion, one hundred sixty-two million, eight hundred fifty-five thousand, one hundred twenty".