536612842211040 has 1344 divisors, whose sum is σ = 2191522469625216. Its totient is φ = 121572738072576.

The previous prime is 536612842211009. The next prime is 536612842211077. The reversal of 536612842211040 is 40112248216635.

536612842211040 is a `hidden beast` number, since 5 + 3 + 6 + 612 + 8 + 4 + 2 + 21 + 1 + 0 + 4 + 0 = 666.

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 223 ways as a sum of consecutive naturals, for example, 47601594844 + ... + 47601606116.

It is an arithmetic number, because the mean of its divisors is an integer number (1630597075614).

Almost surely, 2^{536612842211040} 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 536612842211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095761234812608).

536612842211040 is an abundant number, since it is smaller than the sum of its proper divisors (1654909627414176).

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

536612842211040 is a wasteful number, since it uses less digits than its factorization.

536612842211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11823 (or 11800 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 536612842211040 in words is "five hundred thirty-six trillion, six hundred twelve billion, eight hundred forty-two million, two hundred eleven thousand, forty".