5629852313100 has 216 divisors, whose sum is σ = 17756361801360. Its totient is φ = 1491954647040.

The previous prime is 5629852313083. The next prime is 5629852313119. The reversal of 5629852313100 is 13132589265.

5629852313100 is a `hidden beast` number, since 5 + 6 + 2 + 9 + 8 + 523 + 13 + 100 = 666.

It is a super-2 number, since 2×5629852313100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273376404 + ... + 273396996.

It is an arithmetic number, because the mean of its divisors is an integer number (82205378710).

Almost surely, 2^{5629852313100} is an apocalyptic number.

5629852313100 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 5629852313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8878180900680).

5629852313100 is an abundant number, since it is smaller than the sum of its proper divisors (12126509488260).

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

5629852313100 is a wasteful number, since it uses less digits than its factorization.

5629852313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22489 (or 22479 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 5629852313100 in words is "five trillion, six hundred twenty-nine billion, eight hundred fifty-two million, three hundred thirteen thousand, one hundred".