535470046272 has 420 divisors, whose sum is σ = 1955082741084. Its totient is φ = 143990784000.

The previous prime is 535470046261. The next prime is 535470046277. The reversal of 535470046272 is 272640074535.

535470046272 is a `hidden beast` number, since 5 + 3 + 54 + 70 + 0 + 462 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 276861182976 + 258608863296 = 526176^2 + 508536^2 .

It is not an unprimeable number, because it can be changed into a prime (535470046277) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4256272 + ... + 4380272.

Almost surely, 2^535470046272 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 535470046272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977541370542).

535470046272 is an abundant number, since it is smaller than the sum of its proper divisors (1419612694812).

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

535470046272 is a wasteful number, since it uses less digits than its factorization.

535470046272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124056 (or 124030 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 535470046272 in words is "five hundred thirty-five billion, four hundred seventy million, forty-six thousand, two hundred seventy-two".