535665530400 has 1728 divisors, whose sum is σ = 2431849101696. Its totient is φ = 100638720000.

The previous prime is 535665530353. The next prime is 535665530437. The reversal of 535665530400 is 4035566535.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 891290100 + ... + 891290700.

It is an arithmetic number, because the mean of its divisors is an integer number (1407320082).

Almost surely, 2^535665530400 is an apocalyptic number.

535665530400 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 535665530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215924550848).

535665530400 is an abundant number, since it is smaller than the sum of its proper divisors (1896183571296).

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

535665530400 is a wasteful number, since it uses less digits than its factorization.

535665530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

The spelling of 535665530400 in words is "five hundred thirty-five billion, six hundred sixty-five million, five hundred thirty thousand, four hundred".