36258497995104 has 576 divisors, whose sum is σ = 137133443543040. Its totient is φ = 9113986252800.

The previous prime is 36258497994989. The next prime is 36258497995121. The reversal of 36258497995104 is 40159979485263.

36258497995104 is a `hidden beast` number, since 3 + 6 + 25 + 8 + 497 + 9 + 9 + 5 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21886912 + ... + 23485184.

It is an arithmetic number, because the mean of its divisors is an integer number (238078895040).

It is a 1-persistent number, because it is pandigital, but 2⋅36258497995104 = 72516995990208 is not.

Almost surely, 2^{36258497995104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36258497995104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68566721771520).

36258497995104 is an abundant number, since it is smaller than the sum of its proper divisors (100874945547936).

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

36258497995104 is a wasteful number, since it uses less digits than its factorization.

36258497995104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598352 (or 1598327 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 36258497995104 in words is "thirty-six trillion, two hundred fifty-eight billion, four hundred ninety-seven million, nine hundred ninety-five thousand, one hundred four".