35616650650560 has 672 divisors, whose sum is σ = 146768427051840. Its totient is φ = 8107145625600.

The previous prime is 35616650650519. The next prime is 35616650650561. The reversal of 35616650650560 is 6505605661653.

35616650650560 is a `hidden beast` number, since 3 + 5 + 6 + 16 + 6 + 5 + 0 + 65 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 35616650650497 and 35616650650506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35616650650561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101855220 + ... + 102204300.

Almost surely, 2^{35616650650560} is an apocalyptic number.

35616650650560 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 35616650650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73384213525920).

35616650650560 is an abundant number, since it is smaller than the sum of its proper divisors (111151776401280).

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

35616650650560 is a wasteful number, since it uses less digits than its factorization.

35616650650560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349362 (or 349339 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 35616650650560 in words is "thirty-five trillion, six hundred sixteen billion, six hundred fifty million, six hundred fifty thousand, five hundred sixty".