535962257970048 has 1536 divisors, whose sum is σ = 1991681933230080. Its totient is φ = 134558790451200.

The previous prime is 535962257970047. The next prime is 535962257970053. The reversal of 535962257970048 is 840079752269535.

535962257970048 is a `hidden beast` number, since 5 + 3 + 5 + 9 + 6 + 2 + 2 + 579 + 7 + 0 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535962257970043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52643375518 + ... + 52643385698.

It is an arithmetic number, because the mean of its divisors is an integer number (1296667925280).

Almost surely, 2^{535962257970048} 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 535962257970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995840966615040).

535962257970048 is an abundant number, since it is smaller than the sum of its proper divisors (1455719675260032).

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

535962257970048 is a wasteful number, since it uses less digits than its factorization.

535962257970048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10516 (or 10501 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 535962257970048 in words is "five hundred thirty-five trillion, nine hundred sixty-two billion, two hundred fifty-seven million, nine hundred seventy thousand, forty-eight".