536398200000 has 1176 divisors, whose sum is σ = 2155770365616. Its totient is φ = 131569920000.

The previous prime is 536398199993. The next prime is 536398200001. The reversal of 536398200000 is 2893635.

536398200000 is a `hidden beast` number, since 5 + 363 + 98 + 200 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (536398200001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1895399859 + ... + 1895400141.

It is an arithmetic number, because the mean of its divisors is an integer number (1833138066).

Almost surely, 2^536398200000 is an apocalyptic number.

536398200000 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 536398200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077885182808).

536398200000 is an abundant number, since it is smaller than the sum of its proper divisors (1619372165616).

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

536398200000 is an frugal number, since it uses more digits than its factorization.

536398200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 536398200000 in words is "five hundred thirty-six billion, three hundred ninety-eight million, two hundred thousand".