52780467600 has 405 divisors, whose sum is σ = 213457259457. Its totient is φ = 12042051840.

The previous prime is 52780467589. The next prime is 52780467601. The reversal of 52780467600 is 676408725.

The square root of 52780467600 is 229740.

It is a perfect power (a square), and thus also a powerful number.

52780467600 is a `hidden beast` number, since 52 + 7 + 80 + 467 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19000968336 + 33779499264 = 137844^2 + 183792^2 .

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

It is not an unprimeable number, because it can be changed into a prime (52780467601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 96490527 + ... + 96491073.

Almost surely, 2^52780467600 is an apocalyptic number.

52780467600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52780467600 is the 229740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52780467600

52780467600 is an abundant number, since it is smaller than the sum of its proper divisors (160676791857).

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

52780467600 is a wasteful number, since it uses less digits than its factorization.

52780467600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 52780467600 in words is "fifty-two billion, seven hundred eighty million, four hundred sixty-seven thousand, six hundred".