35996400000000 has 1980 divisors, whose sum is σ = 148031607801528. Its totient is φ = 8640000000000.

The previous prime is 35996399999981. The next prime is 35996400000061. The reversal of 35996400000000 is 469953.

35996400000000 is a `hidden beast` number, since 3 + 5 + 9 + 9 + 640 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

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 179 ways as a sum of consecutive naturals, for example, 356399999950 + ... + 356400000050.

Almost surely, 2^{35996400000000} is an apocalyptic number.

35996400000000 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 35996400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74015803900764).

35996400000000 is an abundant number, since it is smaller than the sum of its proper divisors (112035207801528).

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

35996400000000 is an frugal number, since it uses more digits than its factorization.

35996400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 35996400000000 its reverse (469953), we get a palindrome (35996400469953).

The spelling of 35996400000000 in words is "thirty-five trillion, nine hundred ninety-six billion, four hundred million", and thus it is an aban number.