1540385015688 has 48 divisors (see below), whose sum is σ = 4172695254000. Its totient is φ = 513360851040.

The previous prime is 1540385015677. The next prime is 1540385015693. The reversal of 1540385015688 is 8865105830451.

1540385015688 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 3 + 8 + 501 + 56 + 88 = 666.

It is a super-2 number, since 2×1540385015688² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1730758 + ... + 2465013.

It is an arithmetic number, because the mean of its divisors is an integer number (86931151125).

Almost surely, 2^{1540385015688} is an apocalyptic number.

1540385015688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1540385015688 is an abundant number, since it is smaller than the sum of its proper divisors (2632310238312).

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

1540385015688 is a wasteful number, since it uses less digits than its factorization.

1540385015688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200882 (or 4200875 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 1540385015688 in words is "one trillion, five hundred forty billion, three hundred eighty-five million, fifteen thousand, six hundred eighty-eight".