52467782400 has 648 divisors, whose sum is σ = 212285621184. Its totient is φ = 12715315200.

The previous prime is 52467782399. The next prime is 52467782407. The reversal of 52467782400 is 428776425.

It is a happy number.

52467782400 is a `hidden beast` number, since 524 + 6 + 7 + 7 + 82 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-3 number, since 3×52467782400³ (a number of 33 digits) contains 333 as substring.

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 (52467782407) 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, 17105667 + ... + 17108733.

Almost surely, 2^52467782400 is an apocalyptic number.

52467782400 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 52467782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142810592).

52467782400 is an abundant number, since it is smaller than the sum of its proper divisors (159817838784).

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

52467782400 is a wasteful number, since it uses less digits than its factorization.

52467782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 52467782400 in words is "fifty-two billion, four hundred sixty-seven million, seven hundred eighty-two thousand, four hundred".