536612541005520 has 2560 divisors, whose sum is σ = 2433043818086400. Its totient is φ = 105716374732800.

The previous prime is 536612541005461. The next prime is 536612541005543. The reversal of 536612541005520 is 25500145216635.

536612541005520 is a `hidden beast` number, since 5 + 3 + 6 + 6 + 12 + 5 + 4 + 100 + 5 + 520 = 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 511 ways as a sum of consecutive naturals, for example, 200903233785 + ... + 200903236455.

It is an arithmetic number, because the mean of its divisors is an integer number (950407741440).

Almost surely, 2^{536612541005520} 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 536612541005520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216521909043200).

536612541005520 is an abundant number, since it is smaller than the sum of its proper divisors (1896431277080880).

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

536612541005520 is a wasteful number, since it uses less digits than its factorization.

536612541005520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 536612541005520 in words is "five hundred thirty-six trillion, six hundred twelve billion, five hundred forty-one million, five thousand, five hundred twenty".