535979808000 has 2304 divisors, whose sum is σ = 2584175892480. Its totient is φ = 106168320000.

The previous prime is 535979807981. The next prime is 535979808061. The reversal of 535979808000 is 808979535.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1336607800 + ... + 1336608200.

It is an arithmetic number, because the mean of its divisors is an integer number (1121604120).

Almost surely, 2^535979808000 is an apocalyptic number.

535979808000 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 535979808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292087946240).

535979808000 is an abundant number, since it is smaller than the sum of its proper divisors (2048196084480).

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

535979808000 is a wasteful number, since it uses less digits than its factorization.

535979808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 535979808000 in words is "five hundred thirty-five billion, nine hundred seventy-nine million, eight hundred eight thousand".