36410520960000 has 1320 divisors, whose sum is σ = 143728235679600. Its totient is φ = 8801648640000.

The previous prime is 36410520959987. The next prime is 36410520960049. The reversal of 36410520960000 is 6902501463.

It is a happy number.

36410520960000 is a `hidden beast` number, since 3 + 6 + 41 + 0 + 5 + 2 + 0 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32250239436 + ... + 32250240564.

It is an arithmetic number, because the mean of its divisors is an integer number (108885027030).

Almost surely, 2^{36410520960000} is an apocalyptic number.

36410520960000 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 36410520960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71864117839800).

36410520960000 is an abundant number, since it is smaller than the sum of its proper divisors (107317714719600).

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

36410520960000 is a wasteful number, since it uses less digits than its factorization.

36410520960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1659 counting only the distinct ones).

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

The spelling of 36410520960000 in words is "thirty-six trillion, four hundred ten billion, five hundred twenty million, nine hundred sixty thousand".