540578382800 has 60 divisors (see below), whose sum is σ = 1375136026956. Its totient is φ = 203511859200.

The previous prime is 540578382787. The next prime is 540578382803. The reversal of 540578382800 is 8283875045.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 37608069184 + 502970313616 = 193928^2 + 709204^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540578382803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39741611 + ... + 39755210.

Almost surely, 2^540578382800 is an apocalyptic number.

540578382800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540578382800 is an abundant number, since it is smaller than the sum of its proper divisors (834557644156).

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

540578382800 is a wasteful number, since it uses less digits than its factorization.

540578382800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79496856 (or 79496845 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 50.

The spelling of 540578382800 in words is "five hundred forty billion, five hundred seventy-eight million, three hundred eighty-two thousand, eight hundred".