535574509081920 has 7168 divisors, whose sum is σ = 2565423083520000. Its totient is φ = 105450861035520.

The previous prime is 535574509081901. The next prime is 535574509081921. The reversal of 535574509081920 is 29180905475535.

535574509081920 is a `hidden beast` number, since 5 + 3 + 5 + 5 + 7 + 450 + 90 + 8 + 1 + 92 + 0 = 666.

It is a super-2 number, since 2×535574509081920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535574509081921) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 6017691113236 + ... + 6017691113324.

Almost surely, 2^{535574509081920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535574509081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282711541760000).

535574509081920 is an abundant number, since it is smaller than the sum of its proper divisors (2029848574438080).

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

535574509081920 is an equidigital number, since it uses as much as digits as its factorization.

535574509081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 535574509081920 in words is "five hundred thirty-five trillion, five hundred seventy-four billion, five hundred nine million, eighty-one thousand, nine hundred twenty".