35994821990400 has 2880 divisors, whose sum is σ = 165594841251840. Its totient is φ = 7524679680000.

The previous prime is 35994821990287. The next prime is 35994821990431. The reversal of 35994821990400 is 409912849953.

35994821990400 is a `hidden beast` number, since 3 + 5 + 9 + 9 + 4 + 8 + 219 + 9 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 47929190025 + ... + 47929190775.

It is an arithmetic number, because the mean of its divisors is an integer number (57498208768).

Almost surely, 2^{35994821990400} is an apocalyptic number.

35994821990400 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 35994821990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82797420625920).

35994821990400 is an abundant number, since it is smaller than the sum of its proper divisors (129600019261440).

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

35994821990400 is a wasteful number, since it uses less digits than its factorization.

35994821990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 35994821990400 in words is "thirty-five trillion, nine hundred ninety-four billion, eight hundred twenty-one million, nine hundred ninety thousand, four hundred".