1540817036088 has 256 divisors, whose sum is σ = 4269151526400. Its totient is φ = 459561984000.

The previous prime is 1540817036051. The next prime is 1540817036107. The reversal of 1540817036088 is 8806307180451.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1540817036088.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2707938268 + ... + 2707938836.

It is an arithmetic number, because the mean of its divisors is an integer number (16676373150).

Almost surely, 2^{1540817036088} 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 1540817036088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134575763200).

1540817036088 is an abundant number, since it is smaller than the sum of its proper divisors (2728334490312).

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

1540817036088 is a wasteful number, since it uses less digits than its factorization.

1540817036088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 1540817036088 in words is "one trillion, five hundred forty billion, eight hundred seventeen million, thirty-six thousand, eighty-eight".