3516509661120 has 1120 divisors, whose sum is σ = 13325310383616. Its totient is φ = 878808268800.

The previous prime is 3516509661073. The next prime is 3516509661149. The reversal of 3516509661120 is 211669056153.

3516509661120 is a `hidden beast` number, since 3 + 5 + 1 + 6 + 5 + 0 + 9 + 6 + 611 + 20 = 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 159 ways as a sum of consecutive naturals, for example, 5699367052 + ... + 5699367668.

Almost surely, 2^{3516509661120} is an apocalyptic number.

3516509661120 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 3516509661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662655191808).

3516509661120 is an abundant number, since it is smaller than the sum of its proper divisors (9808800722496).

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

3516509661120 is a wasteful number, since it uses less digits than its factorization.

3516509661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 3516509661120 in words is "three trillion, five hundred sixteen billion, five hundred nine million, six hundred sixty-one thousand, one hundred twenty".