36039953154816 has 1152 divisors, whose sum is σ = 123377833635840. Its totient is φ = 10288888676352.

The previous prime is 36039953154787. The next prime is 36039953154833. The reversal of 36039953154816 is 61845135993063.

36039953154816 is a `hidden beast` number, since 3 + 6 + 0 + 3 + 99 + 53 + 15 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38463129900 + ... + 38463130836.

It is an arithmetic number, because the mean of its divisors is an integer number (107098813920).

Almost surely, 2^{36039953154816} is an apocalyptic number.

36039953154816 is a gapful number since it is divisible by the number (36) 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 36039953154816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61688916817920).

36039953154816 is an abundant number, since it is smaller than the sum of its proper divisors (87337880481024).

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

36039953154816 is a wasteful number, since it uses less digits than its factorization.

36039953154816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 36039953154816 in words is "thirty-six trillion, thirty-nine billion, nine hundred fifty-three million, one hundred fifty-four thousand, eight hundred sixteen".