53261107200 has 912 divisors, whose sum is σ = 228840789760. Its totient is φ = 11890851840.

The previous prime is 53261107183. The next prime is 53261107231. The reversal of 53261107200 is 270116235.

It is a happy number.

53261107200 is a `hidden beast` number, since 532 + 6 + 1 + 107 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1238630379 + ... + 1238630421.

Almost surely, 2^53261107200 is an apocalyptic number.

53261107200 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 53261107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114420394880).

53261107200 is an abundant number, since it is smaller than the sum of its proper divisors (175579682560).

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

53261107200 is an frugal number, since it uses more digits than its factorization.

53261107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

It can be divided in two parts, 53261 and 107200, that added together give a triangular number (160461 = T₅₆₆).

The spelling of 53261107200 in words is "fifty-three billion, two hundred sixty-one million, one hundred seven thousand, two hundred".