1496976720100 has 81 divisors (see below), whose sum is σ = 3365114838267. Its totient is φ = 578005700160.

The previous prime is 1496976720059. The next prime is 1496976720121. The reversal of 1496976720100 is 10276796941.

The square root of 1496976720100 is 1223510.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20576754916 + 1476399965184 = 143446^2 + 1215072^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 354815791 + ... + 354820009.

Almost surely, 2^{1496976720100} is an apocalyptic number.

1496976720100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1496976720100 is the 1223510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1496976720100

1496976720100 is an abundant number, since it is smaller than the sum of its proper divisors (1868138118167).

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

1496976720100 is an frugal number, since it uses more digits than its factorization.

1496976720100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8510 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The spelling of 1496976720100 in words is "one trillion, four hundred ninety-six billion, nine hundred seventy-six million, seven hundred twenty thousand, one hundred".