535388120280 has 2560 divisors, whose sum is σ = 2371057920000. Its totient is φ = 106683236352.

The previous prime is 535388120243. The next prime is 535388120327. The reversal of 535388120280 is 82021883535.

535388120280 is a `hidden beast` number, since 5 + 353 + 8 + 8 + 12 + 0 + 280 = 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 639 ways as a sum of consecutive naturals, for example, 9074374891 + ... + 9074374949.

It is an arithmetic number, because the mean of its divisors is an integer number (926194500).

Almost surely, 2^535388120280 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 535388120280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185528960000).

535388120280 is an abundant number, since it is smaller than the sum of its proper divisors (1835669799720).

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

535388120280 is a wasteful number, since it uses less digits than its factorization.

535388120280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 535388120280 in words is "five hundred thirty-five billion, three hundred eighty-eight million, one hundred twenty thousand, two hundred eighty".