7989611028100 has 243 divisors, whose sum is σ = 19958595593517. Its totient is φ = 2774309391360.

The previous prime is 7989611028079. The next prime is 7989611028103. The reversal of 7989611028100 is 18201169897.

The square root of 7989611028100 is 2826590.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5818679893636 + 2170931134464 = 2412194^2 + 1473408^2 .

It is a super-2 number, since 2×7989611028100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7989611028103) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6246763261 + ... + 6246764539.

Almost surely, 2^{7989611028100} is an apocalyptic number.

7989611028100 is the 2826590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7989611028100

7989611028100 is an abundant number, since it is smaller than the sum of its proper divisors (11968984565417).

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

7989611028100 is a wasteful number, since it uses less digits than its factorization.

7989611028100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 52.

The spelling of 7989611028100 in words is "seven trillion, nine hundred eighty-nine billion, six hundred eleven million, twenty-eight thousand, one hundred".