540761315539200 has 432 divisors, whose sum is σ = 2039757387588480. Its totient is φ = 123591316930560.

The previous prime is 540761315539187. The next prime is 540761315539217. The reversal of 540761315539200 is 2935513167045.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520827036 + ... + 1521182564.

Almost surely, 2^{540761315539200} is an apocalyptic number.

540761315539200 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 540761315539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019878693794240).

540761315539200 is an abundant number, since it is smaller than the sum of its proper divisors (1498996072049280).

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

540761315539200 is a wasteful number, since it uses less digits than its factorization.

540761315539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366882 (or 366863 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 51.

The spelling of 540761315539200 in words is "five hundred forty trillion, seven hundred sixty-one billion, three hundred fifteen million, five hundred thirty-nine thousand, two hundred".