535765463040 has 208 divisors, whose sum is σ = 1743306912000. Its totient is φ = 140448301056.

The previous prime is 535765462951. The next prime is 535765463047. The reversal of 535765463040 is 40364567535.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (535765463047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3551061 + ... + 3698859.

Almost surely, 2^535765463040 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 535765463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871653456000).

535765463040 is an abundant number, since it is smaller than the sum of its proper divisors (1207541448960).

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

535765463040 is a wasteful number, since it uses less digits than its factorization.

535765463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147890 (or 147868 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 48.

The spelling of 535765463040 in words is "five hundred thirty-five billion, seven hundred sixty-five million, four hundred sixty-three thousand, forty".