540355513104 has 160 divisors (see below), whose sum is σ = 1692899326080. Its totient is φ = 163659225600.

The previous prime is 540355513099. The next prime is 540355513111. The reversal of 540355513104 is 401315553045.

540355513104 is a `hidden beast` number, since 5 + 4 + 0 + 35 + 5 + 513 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9461274 + ... + 9518214.

It is an arithmetic number, because the mean of its divisors is an integer number (10580620788).

Almost surely, 2^540355513104 is an apocalyptic number.

540355513104 is a gapful number since it is divisible by the number (54) 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 540355513104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846449663040).

540355513104 is an abundant number, since it is smaller than the sum of its proper divisors (1152543812976).

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

540355513104 is a wasteful number, since it uses less digits than its factorization.

540355513104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58966 (or 58954 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 540355513104 in words is "five hundred forty billion, three hundred fifty-five million, five hundred thirteen thousand, one hundred four".