536493888000 has 1280 divisors, whose sum is σ = 2399182156800. Its totient is φ = 115369574400.

The previous prime is 536493887971. The next prime is 536493888011. The reversal of 536493888000 is 888394635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×536493888000² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205630696 + ... + 205633304.

It is an arithmetic number, because the mean of its divisors is an integer number (1874361060).

Almost surely, 2^536493888000 is an apocalyptic number.

536493888000 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 536493888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199591078400).

536493888000 is an abundant number, since it is smaller than the sum of its proper divisors (1862688268800).

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

536493888000 is a wasteful number, since it uses less digits than its factorization.

536493888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 536493888000 in words is "five hundred thirty-six billion, four hundred ninety-three million, eight hundred eighty-eight thousand".