1527782400054 has 48 divisors (see below), whose sum is σ = 3425114412720. Its totient is φ = 491588865600.

The previous prime is 1527782399999. The next prime is 1527782400059. The reversal of 1527782400054 is 4500042877251.

1527782400054 is a `hidden beast` number, since 1 + 52 + 77 + 82 + 400 + 0 + 54 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1527782399982 and 1527782400009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1527782400059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1994644 + ... + 2652200.

It is an arithmetic number, because the mean of its divisors is an integer number (71356550265).

Almost surely, 2^{1527782400054} is an apocalyptic number.

1527782400054 is an abundant number, since it is smaller than the sum of its proper divisors (1897332012666).

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

1527782400054 is a wasteful number, since it uses less digits than its factorization.

1527782400054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662045 (or 662042 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 1527782400054 in words is "one trillion, five hundred twenty-seven billion, seven hundred eighty-two million, four hundred thousand, fifty-four".