540895380480 has 2816 divisors, whose sum is σ = 2605906329600. Its totient is φ = 103195607040.

The previous prime is 540895380437. The next prime is 540895380521. The reversal of 540895380480 is 84083598045.

540895380480 is a `hidden beast` number, since 5 + 4 + 0 + 89 + 5 + 3 + 80 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7409525724 + ... + 7409525796.

Almost surely, 2^540895380480 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 540895380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302953164800).

540895380480 is an abundant number, since it is smaller than the sum of its proper divisors (2065010949120).

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

540895380480 is a wasteful number, since it uses less digits than its factorization.

540895380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 540895380480 in words is "five hundred forty billion, eight hundred ninety-five million, three hundred eighty thousand, four hundred eighty".