52406611200 has 540 divisors, whose sum is σ = 198361762368. Its totient is φ = 13644288000.

The previous prime is 52406611123. The next prime is 52406611219. The reversal of 52406611200 is 211660425.

52406611200 is a `hidden beast` number, since 5 + 2 + 40 + 6 + 611 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 22290025 + ... + 22292375.

Almost surely, 2^52406611200 is an apocalyptic number.

52406611200 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 52406611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99180881184).

52406611200 is an abundant number, since it is smaller than the sum of its proper divisors (145955151168).

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

52406611200 is a wasteful number, since it uses less digits than its factorization.

52406611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 52406611200 in words is "fifty-two billion, four hundred six million, six hundred eleven thousand, two hundred".