32850078037920 has 768 divisors, whose sum is σ = 142185151180800. Its totient is φ = 6964165693440.

The previous prime is 32850078037883. The next prime is 32850078037943. The reversal of 32850078037920 is 2973087005823.

32850078037920 is a `hidden beast` number, since 3 + 2 + 8 + 500 + 7 + 80 + 37 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10338069 + ... + 13136811.

It is an arithmetic number, because the mean of its divisors is an integer number (185136915600).

Almost surely, 2^{32850078037920} is an apocalyptic number.

32850078037920 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 32850078037920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71092575590400).

32850078037920 is an abundant number, since it is smaller than the sum of its proper divisors (109335073142880).

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

32850078037920 is a wasteful number, since it uses less digits than its factorization.

32850078037920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798810 (or 2798796 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 32850078037920 in words is "thirty-two trillion, eight hundred fifty billion, seventy-eight million, thirty-seven thousand, nine hundred twenty".