52161035400 has 240 divisors, whose sum is σ = 191820663540. Its totient is φ = 13091328000.

The previous prime is 52161035287. The next prime is 52161035447. The reversal of 52161035400 is 453016125.

52161035400 is a `hidden beast` number, since 5 + 2 + 1 + 610 + 3 + 5 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13955641956 + 38205393444 = 118134^2 + 195462^2 .

It is a super-2 number, since 2×52161035400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 180700 + ... + 370100.

Almost surely, 2^52161035400 is an apocalyptic number.

52161035400 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 52161035400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95910331770).

52161035400 is an abundant number, since it is smaller than the sum of its proper divisors (139659628140).

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

52161035400 is a wasteful number, since it uses less digits than its factorization.

52161035400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189446 (or 189428 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 52161035400 in words is "fifty-two billion, one hundred sixty-one million, thirty-five thousand, four hundred".