35161125120 has 432 divisors, whose sum is σ = 133306834752. Its totient is φ = 8485847040.

The previous prime is 35161125101. The next prime is 35161125157. The reversal of 35161125120 is 2152116153.

35161125120 is a `hidden beast` number, since 3 + 5 + 1 + 611 + 25 + 1 + 20 = 666.

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, 37128487 + ... + 37129433.

It is an arithmetic number, because the mean of its divisors is an integer number (308580636).

Almost surely, 2^35161125120 is an apocalyptic number.

35161125120 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 35161125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66653417376).

35161125120 is an abundant number, since it is smaller than the sum of its proper divisors (98145709632).

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

35161125120 is a wasteful number, since it uses less digits than its factorization.

35161125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 35161125120 in words is "thirty-five billion, one hundred sixty-one million, one hundred twenty-five thousand, one hundred twenty".