93803099040000 has 1215 divisors, whose sum is σ = 393482647210653. Its totient is φ = 21422112768000.

The previous prime is 93803099039977. The next prime is 93803099040011. The reversal of 93803099040000 is 4099030839.

The square root of 93803099040000 is 9685200.

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

It can be written as a sum of positive squares in 7 ways, for example, as 44470119262464 + 49332979777536 = 6668592^2 + 7023744^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 81355679424 + ... + 81355680576.

Almost surely, 2^{93803099040000} is an apocalyptic number.

93803099040000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

93803099040000 is the 9685200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93803099040000

93803099040000 is an abundant number, since it is smaller than the sum of its proper divisors (299679548170653).

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

93803099040000 is an frugal number, since it uses more digits than its factorization.

93803099040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 93803099040000 in words is "ninety-three trillion, eight hundred three billion, ninety-nine million, forty thousand".