10083317579776 has 189 divisors, whose sum is σ = 23512210533651. Its totient is φ = 4311666917376.

The previous prime is 10083317579747. The next prime is 10083317579779. The reversal of 10083317579776 is 67797571338001.

The square root of 10083317579776 is 3175424.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (10083317579779) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22761439011 + ... + 22761439453.

Almost surely, 2^{10083317579776} is an apocalyptic number.

10083317579776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10083317579776 is the 3175424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10083317579776

10083317579776 is an abundant number, since it is smaller than the sum of its proper divisors (13428892953875).

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

10083317579776 is an frugal number, since it uses more digits than its factorization.

10083317579776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 46675440, while the sum is 64.

Multiplying 10083317579776 by its sum of digits (64), we get a square (645332325105664 = 25403392²).

10083317579776 divided by its sum of digits (64) gives a square (157551837184 = 396928²).

The spelling of 10083317579776 in words is "ten trillion, eighty-three billion, three hundred seventeen million, five hundred seventy-nine thousand, seven hundred seventy-six".