36010564316100 has 432 divisors, whose sum is σ = 128191946815296. Its totient is φ = 8695848960000.

The previous prime is 36010564316081. The next prime is 36010564316107. The reversal of 36010564316100 is 161346501063.

36010564316100 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 0 + 5 + 6 + 4 + 31 + 610 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36010564316107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68434000 + ... + 68958200.

It is an arithmetic number, because the mean of its divisors is an integer number (296740617628).

Almost surely, 2^{36010564316100} is an apocalyptic number.

36010564316100 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 36010564316100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64095973407648).

36010564316100 is an abundant number, since it is smaller than the sum of its proper divisors (92181382499196).

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

36010564316100 is a wasteful number, since it uses less digits than its factorization.

36010564316100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524498 (or 524479 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 36010564316100 in words is "thirty-six trillion, ten billion, five hundred sixty-four million, three hundred sixteen thousand, one hundred".