36124552520100 has 864 divisors, whose sum is σ = 133860492380160. Its totient is φ = 8052918912000.

The previous prime is 36124552520087. The next prime is 36124552520113. The reversal of 36124552520100 is 102525542163.

36124552520100 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 4 + 5 + 525 + 20 + 100 = 666.

36124552520100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36124552520087) and next prime (36124552520113).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2999624679 + ... + 2999636721.

It is an arithmetic number, because the mean of its divisors is an integer number (154931125440).

Almost surely, 2^{36124552520100} is an apocalyptic number.

36124552520100 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 36124552520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66930246190080).

36124552520100 is an abundant number, since it is smaller than the sum of its proper divisors (97735939860060).

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

36124552520100 is a wasteful number, since it uses less digits than its factorization.

36124552520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12561 (or 12551 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 36124552520100 in words is "thirty-six trillion, one hundred twenty-four billion, five hundred fifty-two million, five hundred twenty thousand, one hundred".