9757988993284 has 81 divisors (see below), whose sum is σ = 20341105594677. Its totient is φ = 4083952386528.

The previous prime is 9757988993279. The next prime is 9757988993303. The reversal of 9757988993284 is 4823998897579.

The square root of 9757988993284 is 3123778.

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

It can be written as a sum of positive squares in only one way, i.e., 7705187775684 + 2052801217600 = 2775822^2 + 1432760^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9757988993195 and 9757988993204.

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, 1880511762 + ... + 1880516950.

Almost surely, 2^{9757988993284} is an apocalyptic number.

9757988993284 is the 3123778-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9757988993284

9757988993284 is an abundant number, since it is smaller than the sum of its proper divisors (10583116601393).

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

9757988993284 is an frugal number, since it uses more digits than its factorization.

9757988993284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10482 (or 5241 counting only the distinct ones).

The product of its digits is 19752284160, while the sum is 88.

The spelling of 9757988993284 in words is "nine trillion, seven hundred fifty-seven billion, nine hundred eighty-eight million, nine hundred ninety-three thousand, two hundred eighty-four".