540760147200 has 1296 divisors, whose sum is σ = 2468270103936. Its totient is φ = 114064588800.

The previous prime is 540760147199. The next prime is 540760147231. The reversal of 540760147200 is 2741067045.

540760147200 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 601 + 47 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141521290 + ... + 141525110.

Almost surely, 2^540760147200 is an apocalyptic number.

540760147200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540760147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234135051968).

540760147200 is an abundant number, since it is smaller than the sum of its proper divisors (1927509956736).

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

540760147200 is a wasteful number, since it uses less digits than its factorization.

540760147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 540760147200 in words is "five hundred forty billion, seven hundred sixty million, one hundred forty-seven thousand, two hundred".