1516972133376 has 704 divisors, whose sum is σ = 5296915456000. Its totient is φ = 419805462528.

The previous prime is 1516972133333. The next prime is 1516972133377. The reversal of 1516972133376 is 6733312796151.

It is a happy number.

1516972133376 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 97 + 213 + 337 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1516972133377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2499130065 + ... + 2499130671.

Almost surely, 2^{1516972133376} is an apocalyptic number.

1516972133376 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 1516972133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648457728000).

1516972133376 is an abundant number, since it is smaller than the sum of its proper divisors (3779943322624).

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

1516972133376 is a wasteful number, since it uses less digits than its factorization.

1516972133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1005 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The spelling of 1516972133376 in words is "one trillion, five hundred sixteen billion, nine hundred seventy-two million, one hundred thirty-three thousand, three hundred seventy-six".