35161221588120 has 192 divisors, whose sum is σ = 115727536080000. Its totient is φ = 9257073306624.

The previous prime is 35161221588109. The next prime is 35161221588151. The reversal of 35161221588120 is 2188512216153.

It is a happy number.

35161221588120 is a `hidden beast` number, since 3 + 5 + 1 + 61 + 2 + 2 + 1 + 588 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684724206 + ... + 684775554.

It is an arithmetic number, because the mean of its divisors is an integer number (602747583750).

Almost surely, 2^{35161221588120} is an apocalyptic number.

35161221588120 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 35161221588120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57863768040000).

35161221588120 is an abundant number, since it is smaller than the sum of its proper divisors (80566314491880).

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

35161221588120 is a wasteful number, since it uses less digits than its factorization.

35161221588120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75522 (or 75515 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 35161221588120 in words is "thirty-five trillion, one hundred sixty-one billion, two hundred twenty-one million, five hundred eighty-eight thousand, one hundred twenty".