534355968000 has 544 divisors, whose sum is σ = 1884402524160. Its totient is φ = 134008012800.

The previous prime is 534355967953. The next prime is 534355968001. The reversal of 534355968000 is 869553435.

It is a tau number, because it is divible by the number of its divisors (544).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (534355968001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417791361 + ... + 417792639.

Almost surely, 2^534355968000 is an apocalyptic number.

534355968000 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 534355968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942201262080).

534355968000 is an abundant number, since it is smaller than the sum of its proper divisors (1350046556160).

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

534355968000 is an equidigital number, since it uses as much as digits as its factorization.

534355968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 534355968000 in words is "five hundred thirty-four billion, three hundred fifty-five million, nine hundred sixty-eight thousand".