535515620640 has 1536 divisors, whose sum is σ = 2363121008640. Its totient is φ = 98338406400.

The previous prime is 535515620617. The next prime is 535515620699. The reversal of 535515620640 is 46026515535.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 535515620592 and 535515620601.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2338496046 + ... + 2338496274.

It is an arithmetic number, because the mean of its divisors is an integer number (1538490240).

Almost surely, 2^535515620640 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 535515620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181560504320).

535515620640 is an abundant number, since it is smaller than the sum of its proper divisors (1827605388000).

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

535515620640 is a wasteful number, since it uses less digits than its factorization.

535515620640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 535515620640 in words is "five hundred thirty-five billion, five hundred fifteen million, six hundred twenty thousand, six hundred forty".