540193432320 has 504 divisors, whose sum is σ = 2042183497200. Its totient is φ = 136465440768.

The previous prime is 540193432291. The next prime is 540193432367. The reversal of 540193432320 is 23234391045.

540193432320 is a `hidden beast` number, since 5 + 4 + 0 + 193 + 432 + 32 + 0 = 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 55 ways as a sum of consecutive naturals, for example, 17714046 + ... + 17744514.

Almost surely, 2^540193432320 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 540193432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021091748600).

540193432320 is an abundant number, since it is smaller than the sum of its proper divisors (1501990064880).

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

540193432320 is an equidigital number, since it uses as much as digits as its factorization.

540193432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30527 (or 30498 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 540193432320 in words is "five hundred forty billion, one hundred ninety-three million, four hundred thirty-two thousand, three hundred twenty".