9857252697600 has 1440 divisors, whose sum is σ = 42206132491776. Its totient is φ = 2004482457600.

The previous prime is 9857252697581. The next prime is 9857252697619. The reversal of 9857252697600 is 67962527589.

It is an interprime number because it is at equal distance from previous prime (9857252697581) and next prime (9857252697619).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 972782134 + ... + 972792266.

Almost surely, 2^{9857252697600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9857252697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21103066245888).

9857252697600 is an abundant number, since it is smaller than the sum of its proper divisors (32348879794176).

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

9857252697600 is a wasteful number, since it uses less digits than its factorization.

9857252697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10236 (or 10208 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 66.

The spelling of 9857252697600 in words is "nine trillion, eight hundred fifty-seven billion, two hundred fifty-two million, six hundred ninety-seven thousand, six hundred".