32787133260000 has 1920 divisors, whose sum is σ = 130885207326720. Its totient is φ = 7026739200000.

The previous prime is 32787133259971. The next prime is 32787133260023. The reversal of 32787133260000 is 6233178723.

It is a super-2 number, since 2×32787133260000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 319 ways as a sum of consecutive naturals, for example, 80164139796 + ... + 80164140204.

It is an arithmetic number, because the mean of its divisors is an integer number (68169378816).

Almost surely, 2^{32787133260000} is an apocalyptic number.

32787133260000 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 32787133260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65442603663360).

32787133260000 is an abundant number, since it is smaller than the sum of its proper divisors (98098074066720).

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

32787133260000 is a wasteful number, since it uses less digits than its factorization.

32787133260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 32787133260000 in words is "thirty-two trillion, seven hundred eighty-seven billion, one hundred thirty-three million, two hundred sixty thousand".