1516657140096 has 512 divisors, whose sum is σ = 4929196446720. Its totient is φ = 403333447680.

The previous prime is 1516657140073. The next prime is 1516657140127. The reversal of 1516657140096 is 6900417566151.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1927137015 + ... + 1927137801.

It is an arithmetic number, because the mean of its divisors is an integer number (9627336810).

Almost surely, 2^{1516657140096} is an apocalyptic number.

1516657140096 is a gapful number since it is divisible by the number (16) 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 1516657140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464598223360).

1516657140096 is an abundant number, since it is smaller than the sum of its proper divisors (3412539306624).

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

1516657140096 is a wasteful number, since it uses less digits than its factorization.

1516657140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 1516657140096 in words is "one trillion, five hundred sixteen billion, six hundred fifty-seven million, one hundred forty thousand, ninety-six".