52982654400 has 252 divisors, whose sum is σ = 202799184952. Its totient is φ = 13041838080.

The previous prime is 52982654381. The next prime is 52982654401. The reversal of 52982654400 is 445628925.

52982654400 is a `hidden beast` number, since 5 + 29 + 82 + 6 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52982654401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 45687 + ... + 328713.

Almost surely, 2^52982654400 is an apocalyptic number.

52982654400 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 52982654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101399592476).

52982654400 is an abundant number, since it is smaller than the sum of its proper divisors (149816530552).

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

52982654400 is a wasteful number, since it uses less digits than its factorization.

52982654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283068 (or 283050 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 52982654400 in words is "fifty-two billion, nine hundred eighty-two million, six hundred fifty-four thousand, four hundred".