540475604000 has 48 divisors (see below), whose sum is σ = 1327948568856. Its totient is φ = 216190240000.

The previous prime is 540475603909. The next prime is 540475604023. The reversal of 540475604000 is 406574045.

It can be written as a sum of positive squares in 4 ways, for example, as 226503653776 + 313971950224 = 475924^2 + 560332^2 .

It is a super-2 number, since 2×540475604000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67555451 + ... + 67563450.

Almost surely, 2^540475604000 is an apocalyptic number.

540475604000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540475604000 is an abundant number, since it is smaller than the sum of its proper divisors (787472964856).

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

540475604000 is a wasteful number, since it uses less digits than its factorization.

540475604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135118926 (or 135118908 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The spelling of 540475604000 in words is "five hundred forty billion, four hundred seventy-five million, six hundred four thousand".