536753491200 has 486 divisors, whose sum is σ = 1952821040534. Its totient is φ = 140655697920.

The previous prime is 536753491163. The next prime is 536753491229. The reversal of 536753491200 is 2194357635.

536753491200 is a `hidden beast` number, since 5 + 3 + 6 + 7 + 534 + 91 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2895300864 + 533858190336 = 53808^2 + 730656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 200504262 + ... + 200506938.

Almost surely, 2^536753491200 is an apocalyptic number.

536753491200 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 536753491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976410520267).

536753491200 is an abundant number, since it is smaller than the sum of its proper divisors (1416067549334).

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

536753491200 is a wasteful number, since it uses less digits than its factorization.

536753491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 536753491200 in words is "five hundred thirty-six billion, seven hundred fifty-three million, four hundred ninety-one thousand, two hundred".