536755739520 has 1024 divisors, whose sum is σ = 2418232320000. Its totient is φ = 97528872960.

The previous prime is 536755739497. The next prime is 536755739549. The reversal of 536755739520 is 25937557635.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36509131 + ... + 36523829.

It is an arithmetic number, because the mean of its divisors is an integer number (2361555000).

Almost surely, 2^536755739520 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 536755739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209116160000).

536755739520 is an abundant number, since it is smaller than the sum of its proper divisors (1881476580480).

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

536755739520 is a wasteful number, since it uses less digits than its factorization.

536755739520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14771 (or 14759 counting only the distinct ones).

The product of its (nonzero) digits is 29767500, while the sum is 57.

The spelling of 536755739520 in words is "five hundred thirty-six billion, seven hundred fifty-five million, seven hundred thirty-nine thousand, five hundred twenty".