540624530160 has 480 divisors, whose sum is σ = 2245281292800. Its totient is φ = 114611189760.

The previous prime is 540624530153. The next prime is 540624530203. The reversal of 540624530160 is 61035426045.

540624530160 is a `hidden beast` number, since 5 + 4 + 0 + 62 + 4 + 530 + 1 + 60 = 666.

It is a super-2 number, since 2×540624530160² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1818061 + ... + 2094419.

It is an arithmetic number, because the mean of its divisors is an integer number (4677669360).

Almost surely, 2^540624530160 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 540624530160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122640646400).

540624530160 is an abundant number, since it is smaller than the sum of its proper divisors (1704656762640).

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

540624530160 is a wasteful number, since it uses less digits than its factorization.

540624530160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276421 (or 276412 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 540624530160 in words is "five hundred forty billion, six hundred twenty-four million, five hundred thirty thousand, one hundred sixty".