35798260555200 has 1344 divisors, whose sum is σ = 141470342318592. Its totient is φ = 7810139750400.

The previous prime is 35798260555199. The next prime is 35798260555201. The reversal of 35798260555200 is 255506289753.

It is an interprime number because it is at equal distance from previous prime (35798260555199) and next prime (35798260555201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35798260555201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5929806582 + ... + 5929812618.

It is an arithmetic number, because the mean of its divisors is an integer number (105260671368).

Almost surely, 2^{35798260555200} is an apocalyptic number.

35798260555200 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 35798260555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70735171159296).

35798260555200 is an abundant number, since it is smaller than the sum of its proper divisors (105672081763392).

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

35798260555200 is a wasteful number, since it uses less digits than its factorization.

35798260555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6302 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 57.

The spelling of 35798260555200 in words is "thirty-five trillion, seven hundred ninety-eight billion, two hundred sixty million, five hundred fifty-five thousand, two hundred".