540457583904000 has 576 divisors, whose sum is σ = 2279530012730880. Its totient is φ = 123533160652800.

The previous prime is 540457583903971. The next prime is 540457583904053. The reversal of 540457583904000 is 409385754045.

It is a happy number.

540457583904000 is a `hidden beast` number, since 5 + 4 + 0 + 4 + 5 + 75 + 83 + 90 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38632687 + ... + 50728686.

Almost surely, 2^{540457583904000} is an apocalyptic number.

540457583904000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540457583904000 is an abundant number, since it is smaller than the sum of its proper divisors (1739072428826880).

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

540457583904000 is an equidigital number, since it uses as much as digits as its factorization.

540457583904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89361420 (or 89361390 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 540457583904000 in words is "five hundred forty trillion, four hundred fifty-seven billion, five hundred eighty-three million, nine hundred four thousand".