36135610560 has 504 divisors, whose sum is σ = 152204897520. Its totient is φ = 7824273408.

The previous prime is 36135610549. The next prime is 36135610571. The reversal of 36135610560 is 6501653163.

36135610560 is a `hidden beast` number, since 3 + 6 + 1 + 35 + 61 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (36135610549) and next prime (36135610571).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2674542 + ... + 2688018.

Almost surely, 2^36135610560 is an apocalyptic number.

36135610560 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 36135610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76102448760).

36135610560 is an abundant number, since it is smaller than the sum of its proper divisors (116069286960).

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

36135610560 is a wasteful number, since it uses less digits than its factorization.

36135610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13533 (or 13513 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 36135610560 in words is "thirty-six billion, one hundred thirty-five million, six hundred ten thousand, five hundred sixty".