540893898432 has 336 divisors, whose sum is σ = 1627225600000. Its totient is φ = 171574640640.

The previous prime is 540893898427. The next prime is 540893898449. The reversal of 540893898432 is 234898398045.

540893898432 is a `hidden beast` number, since 5 + 4 + 0 + 89 + 38 + 98 + 432 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 540893898432.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433060944 + ... + 433062192.

Almost surely, 2^540893898432 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 540893898432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813612800000).

540893898432 is an abundant number, since it is smaller than the sum of its proper divisors (1086331701568).

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

540893898432 is a wasteful number, since it uses less digits than its factorization.

540893898432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 540893898432 in words is "five hundred forty billion, eight hundred ninety-three million, eight hundred ninety-eight thousand, four hundred thirty-two".