540747325198080 has 5184 divisors, whose sum is σ = 2665691213971968. Its totient is φ = 103168374865920.

The previous prime is 540747325198061. The next prime is 540747325198121. The reversal of 540747325198080 is 80891523747045.

540747325198080 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 4 + 7 + 32 + 519 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×540747325198080² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 540747325197999 and 540747325198017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 494736802014 + ... + 494736803106.

It is an arithmetic number, because the mean of its divisors is an integer number (514215126152).

Almost surely, 2^{540747325198080} 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 540747325198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332845606985984).

540747325198080 is an abundant number, since it is smaller than the sum of its proper divisors (2124943888773888).

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

540747325198080 is a wasteful number, since it uses less digits than its factorization.

540747325198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 540747325198080 in words is "five hundred forty trillion, seven hundred forty-seven billion, three hundred twenty-five million, one hundred ninety-eight thousand, eighty".