534722288400 has 480 divisors, whose sum is σ = 1991068992000. Its totient is φ = 136121610240.

The previous prime is 534722288377. The next prime is 534722288453. The reversal of 534722288400 is 4882227435.

534722288400 is a `hidden beast` number, since 5 + 347 + 2 + 228 + 84 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27865209 + ... + 27884391.

It is an arithmetic number, because the mean of its divisors is an integer number (4148060400).

Almost surely, 2^534722288400 is an apocalyptic number.

534722288400 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 534722288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995534496000).

534722288400 is an abundant number, since it is smaller than the sum of its proper divisors (1456346703600).

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

534722288400 is a wasteful number, since it uses less digits than its factorization.

534722288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19328 (or 19311 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 534722288400 in words is "five hundred thirty-four billion, seven hundred twenty-two million, two hundred eighty-eight thousand, four hundred".