53852278400 has 192 divisors, whose sum is σ = 135152417400. Its totient is φ = 21200486400.

The previous prime is 53852278399. The next prime is 53852278421. The reversal of 53852278400 is 487225835.

It can be written as a sum of positive squares in 12 ways, for example, as 3543582784 + 50308695616 = 59528^2 + 224296^2 .

It is a super-2 number, since 2×53852278400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63132374 + ... + 63133226.

Almost surely, 2^53852278400 is an apocalyptic number.

53852278400 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 53852278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67576208700).

53852278400 is an abundant number, since it is smaller than the sum of its proper divisors (81300139000).

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

53852278400 is a wasteful number, since it uses less digits than its factorization.

53852278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 53852278400 in words is "fifty-three billion, eight hundred fifty-two million, two hundred seventy-eight thousand, four hundred".