1516840661760 has 288 divisors, whose sum is σ = 5399346677760. Its totient is φ = 360660271104.

The previous prime is 1516840661723. The next prime is 1516840661783. The reversal of 1516840661760 is 671660486151.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628849 + ... + 1851791.

It is an arithmetic number, because the mean of its divisors is an integer number (18747731520).

Almost surely, 2^{1516840661760} is an apocalyptic number.

1516840661760 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 1516840661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699673338880).

1516840661760 is an abundant number, since it is smaller than the sum of its proper divisors (3882506016000).

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

1516840661760 is a wasteful number, since it uses less digits than its factorization.

1516840661760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223003 (or 1222989 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 1516840661760 in words is "one trillion, five hundred sixteen billion, eight hundred forty million, six hundred sixty-one thousand, seven hundred sixty".