32791905380160 has 448 divisors, whose sum is σ = 119435855616000. Its totient is φ = 8460896256000.

The previous prime is 32791905380153. The next prime is 32791905380189. The reversal of 32791905380160 is 6108350919723.

32791905380160 is a `hidden beast` number, since 3 + 2 + 7 + 9 + 1 + 90 + 538 + 0 + 16 + 0 = 666.

It is a super-2 number, since 2×32791905380160² (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 junction number, because it is equal to n+sod(n) for n = 32791905380097 and 32791905380106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2839366066 + ... + 2839377614.

It is an arithmetic number, because the mean of its divisors is an integer number (266597892000).

Almost surely, 2^{32791905380160} is an apocalyptic number.

32791905380160 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 32791905380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59717927808000).

32791905380160 is an abundant number, since it is smaller than the sum of its proper divisors (86643950235840).

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

32791905380160 is a wasteful number, since it uses less digits than its factorization.

32791905380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22207 (or 22191 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 32791905380160 in words is "thirty-two trillion, seven hundred ninety-one billion, nine hundred five million, three hundred eighty thousand, one hundred sixty".