35268941131200 has 756 divisors, whose sum is σ = 147666184667040. Its totient is φ = 7959415726080.

The previous prime is 35268941131199. The next prime is 35268941131267. The reversal of 35268941131200 is 213114986253.

35268941131200 is a `hidden beast` number, since 3 + 5 + 26 + 8 + 9 + 411 + 3 + 1 + 200 = 666.

It is a super-2 number, since 2×35268941131200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 55426044 + ... + 56058756.

Almost surely, 2^{35268941131200} is an apocalyptic number.

35268941131200 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 35268941131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73833092333520).

35268941131200 is an abundant number, since it is smaller than the sum of its proper divisors (112397243535840).

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

35268941131200 is a wasteful number, since it uses less digits than its factorization.

35268941131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632834 (or 632809 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 35268941131200 in words is "thirty-five trillion, two hundred sixty-eight billion, nine hundred forty-one million, one hundred thirty-one thousand, two hundred".