52654046400 has 504 divisors, whose sum is σ = 198107320320. Its totient is φ = 13227079680.

The previous prime is 52654046261. The next prime is 52654046407. The reversal of 52654046400 is 464045625.

52654046400 is a `hidden beast` number, since 5 + 2 + 6 + 5 + 4 + 0 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52654046407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61012369 + ... + 61013231.

It is an arithmetic number, because the mean of its divisors is an integer number (393070080).

Almost surely, 2^52654046400 is an apocalyptic number.

52654046400 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 52654046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99053660160).

52654046400 is an abundant number, since it is smaller than the sum of its proper divisors (145453273920).

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

52654046400 is a wasteful number, since it uses less digits than its factorization.

52654046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 52654046400 in words is "fifty-two billion, six hundred fifty-four million, forty-six thousand, four hundred".