540015011551400 has 768 divisors, whose sum is σ = 1642578845368320. Its totient is φ = 160237232640000.

The previous prime is 540015011551291. The next prime is 540015011551403. The reversal of 540015011551400 is 4155110510045.

It is not an unprimeable number, because it can be changed into a prime (540015011551403) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6638699129 + ... + 6638780471.

It is an arithmetic number, because the mean of its divisors is an integer number (2138774538240).

Almost surely, 2^{540015011551400} is an apocalyptic number.

540015011551400 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 540015011551400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821289422684160).

540015011551400 is an abundant number, since it is smaller than the sum of its proper divisors (1102563833816920).

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

540015011551400 is a wasteful number, since it uses less digits than its factorization.

540015011551400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81666 (or 81657 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 32.

The spelling of 540015011551400 in words is "five hundred forty trillion, fifteen billion, eleven million, five hundred fifty-one thousand, four hundred".