53829356400 has 360 divisors, whose sum is σ = 196497899520. Its totient is φ = 13619612160.

The previous prime is 53829356369. The next prime is 53829356401. The reversal of 53829356400 is 465392835.

53829356400 is a `hidden beast` number, since 5 + 3 + 82 + 9 + 3 + 564 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×53829356400² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53829356401) by changing a digit.

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, 10513041 + ... + 10518159.

Almost surely, 2^53829356400 is an apocalyptic number.

53829356400 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 53829356400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98248949760).

53829356400 is an abundant number, since it is smaller than the sum of its proper divisors (142668543120).

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

53829356400 is a wasteful number, since it uses less digits than its factorization.

53829356400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5293 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 53829356400 in words is "fifty-three billion, eight hundred twenty-nine million, three hundred fifty-six thousand, four hundred".