35227549056000 has 1408 divisors, whose sum is σ = 142474759225344. Its totient is φ = 7542197452800.

The previous prime is 35227549055989. The next prime is 35227549056041. The reversal of 35227549056000 is 65094572253.

It is a super-2 number, since 2×35227549056000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10190206272 + ... + 10190209728.

Almost surely, 2^{35227549056000} is an apocalyptic number.

35227549056000 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 35227549056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71237379612672).

35227549056000 is an abundant number, since it is smaller than the sum of its proper divisors (107247210169344).

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

35227549056000 is a wasteful number, since it uses less digits than its factorization.

35227549056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 35227549056000 in words is "thirty-five trillion, two hundred twenty-seven billion, five hundred forty-nine million, fifty-six thousand".