36753145985088 has 168 divisors, whose sum is σ = 113643099355968. Its totient is φ = 11289393773568.

The previous prime is 36753145985077. The next prime is 36753145985113. The reversal of 36753145985088 is 88058954135763.

36753145985088 is a `hidden beast` number, since 3 + 6 + 7 + 53 + 14 + 59 + 8 + 508 + 8 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 214645 + ... + 8576267.

It is an arithmetic number, because the mean of its divisors is an integer number (676447019976).

Almost surely, 2^{36753145985088} 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 36753145985088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56821549677984).

36753145985088 is an abundant number, since it is smaller than the sum of its proper divisors (76889953370880).

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

36753145985088 is a wasteful number, since it uses less digits than its factorization.

36753145985088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8362241 (or 8362228 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 36753145985088 in words is "thirty-six trillion, seven hundred fifty-three billion, one hundred forty-five million, nine hundred eighty-five thousand, eighty-eight".