1540651916160 has 768 divisors, whose sum is σ = 6623383219200. Its totient is φ = 336833925120.

The previous prime is 1540651916093. The next prime is 1540651916171. The reversal of 1540651916160 is 616191560451.

1540651916160 is a `hidden beast` number, since 1 + 540 + 6 + 5 + 1 + 91 + 6 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 19435005 + ... + 19514115.

It is an arithmetic number, because the mean of its divisors is an integer number (8624196900).

Almost surely, 2^{1540651916160} is an apocalyptic number.

1540651916160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540651916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311691609600).

1540651916160 is an abundant number, since it is smaller than the sum of its proper divisors (5082731303040).

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

1540651916160 is a wasteful number, since it uses less digits than its factorization.

1540651916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79176 (or 79151 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 1540651916160 in words is "one trillion, five hundred forty billion, six hundred fifty-one million, nine hundred sixteen thousand, one hundred sixty".