535131121700 has 216 divisors, whose sum is σ = 1400119839720. Its totient is φ = 176802662400.

The previous prime is 535131121691. The next prime is 535131121711. The reversal of 535131121700 is 7121131535.

It can be written as a sum of positive squares in 12 ways, for example, as 173215780864 + 361915340836 = 416192^2 + 601594^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79146320 + ... + 79153080.

It is an arithmetic number, because the mean of its divisors is an integer number (6482036295).

Almost surely, 2^535131121700 is an apocalyptic number.

535131121700 is a gapful number since it is divisible by the number (50) 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 535131121700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700059919860).

535131121700 is an abundant number, since it is smaller than the sum of its proper divisors (864988718020).

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

535131121700 is a wasteful number, since it uses less digits than its factorization.

535131121700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7375 (or 7361 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 29.

The spelling of 535131121700 in words is "five hundred thirty-five billion, one hundred thirty-one million, one hundred twenty-one thousand, seven hundred".