536444550400 has 216 divisors, whose sum is σ = 1452930943968. Its totient is φ = 194472960000.

The previous prime is 536444550391. The next prime is 536444550401. The reversal of 536444550400 is 4055444635.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536444550401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23290890 + ... + 23313910.

It is an arithmetic number, because the mean of its divisors is an integer number (6726532148).

Almost surely, 2^536444550400 is an apocalyptic number.

536444550400 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 536444550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726465471984).

536444550400 is an abundant number, since it is smaller than the sum of its proper divisors (916486393568).

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

536444550400 is a wasteful number, since it uses less digits than its factorization.

536444550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23389 (or 23370 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 536444550400 in words is "five hundred thirty-six billion, four hundred forty-four million, five hundred fifty thousand, four hundred".