1957492002816 has 585 divisors, whose sum is σ = 6821964688539. Its totient is φ = 557671661568.

The previous prime is 1957492002797. The next prime is 1957492002821. The reversal of 1957492002816 is 6182002947591.

It is a happy number.

The square root of 1957492002816 is 1399104.

It is a perfect power (a square), and thus also a powerful number.

1957492002816 is a `hidden beast` number, since 1 + 95 + 74 + 9 + 200 + 281 + 6 = 666.

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

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 44 ways as a sum of consecutive naturals, for example, 5641187155 + ... + 5641187501.

Almost surely, 2^{1957492002816} is an apocalyptic number.

1957492002816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1957492002816 is the 1399104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1957492002816

1957492002816 is an abundant number, since it is smaller than the sum of its proper divisors (4864472685723).

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

1957492002816 is an frugal number, since it uses more digits than its factorization.

1957492002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1957492002816 in words is "one trillion, nine hundred fifty-seven billion, four hundred ninety-two million, two thousand, eight hundred sixteen".