52467788800 has 396 divisors, whose sum is σ = 152842022544. Its totient is φ = 17805312000.

The previous prime is 52467788759. The next prime is 52467788803. The reversal of 52467788800 is 888776425.

It is a super-3 number, since 3×52467788800³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (52467788803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 189414262 + ... + 189414538.

Almost surely, 2^52467788800 is an apocalyptic number.

52467788800 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 52467788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76421011272).

52467788800 is an abundant number, since it is smaller than the sum of its proper divisors (100374233744).

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

52467788800 is a wasteful number, since it uses less digits than its factorization.

52467788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 55.

The spelling of 52467788800 in words is "fifty-two billion, four hundred sixty-seven million, seven hundred eighty-eight thousand, eight hundred".