540854931456000 has 7680 divisors, whose sum is σ = 2639939463532800. Its totient is φ = 109158019891200.

The previous prime is 540854931455947. The next prime is 540854931456043. The reversal of 540854931456000 is 654139458045.

540854931456000 is a `hidden beast` number, since 5 + 4 + 0 + 8 + 5 + 49 + 31 + 4 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5251018751949 + ... + 5251018752051.

Almost surely, 2^{540854931456000} is an apocalyptic number.

540854931456000 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 540854931456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319969731766400).

540854931456000 is an abundant number, since it is smaller than the sum of its proper divisors (2099084532076800).

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

540854931456000 is a wasteful number, since it uses less digits than its factorization.

540854931456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 540854931456000 in words is "five hundred forty trillion, eight hundred fifty-four billion, nine hundred thirty-one million, four hundred fifty-six thousand".