35222652887040 has 1792 divisors, whose sum is σ = 135524789452800. Its totient is φ = 8652378341376.

The previous prime is 35222652887033. The next prime is 35222652887069. The reversal of 35222652887040 is 4078825622253.

35222652887040 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 2 + 6 + 528 + 8 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 178795192222 + ... + 178795192418.

Almost surely, 2^{35222652887040} is an apocalyptic number.

35222652887040 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 35222652887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67762394726400).

35222652887040 is an abundant number, since it is smaller than the sum of its proper divisors (100302136565760).

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

35222652887040 is a wasteful number, since it uses less digits than its factorization.

35222652887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 35222652887040 in words is "thirty-five trillion, two hundred twenty-two billion, six hundred fifty-two million, eight hundred eighty-seven thousand, forty".