36904553118720 has 1188 divisors, whose sum is σ = 152892339195960. Its totient is φ = 8206657191936.

The previous prime is 36904553118673. The next prime is 36904553118731. The reversal of 36904553118720 is 2781135540963.

It is a happy number.

36904553118720 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 4 + 5 + 531 + 1 + 87 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3091086511 + ... + 3091098449.

It is a 1-persistent number, because it is pandigital, but 2⋅36904553118720 = 73809106237440 is not.

Almost surely, 2^{36904553118720} is an apocalyptic number.

36904553118720 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 36904553118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76446169597980).

36904553118720 is an abundant number, since it is smaller than the sum of its proper divisors (115987786077240).

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

36904553118720 is a wasteful number, since it uses less digits than its factorization.

36904553118720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12058 (or 11993 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 36904553118720 in words is "thirty-six trillion, nine hundred four billion, five hundred fifty-three million, one hundred eighteen thousand, seven hundred twenty".